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HAMILTON, Circuit Judge. Wayne Kubsch appeals the denial of his habeas corpus petition. After being convicted of murdering his wife, her son, and her ex-husband, Kubsch was. sentenced to death. Kubsch’s three principal arguments on appeal are that his conviction and sentence are unconstitutional because (a) the Indiana trial court excluded evidence of a witness’s exculpatory but hearsay statement to police, (b) he was denied effective assistance of counsel in seeking admission of the witness’s hearsay statement, and (c) his waiver of counsel and choice to represent himself at the sentencing phase of his trial were not knowing and voluntary. We reject all three claims. Kubsch argues for a constitutional right to defend himself with otherwise inadmissible hearsay, at least if the hearsay seems sufficiently reliable and is sufficiently important to his defense. See Chambers v. Mississippi, 410 U.S. 284, 300-02, 93 S.Ct. 1038, 35 L.Ed.2d 297 (1973). Kubsch’s evidence is not sufficiently reliable to fit that narrow constitutional exception and to have required Indiana courts to disregard long-established rules against using ex parte witness interviews as substantive evidence at trial. His able trial counsel tried hard to have the statement admitted; they were not successful but also were not constitutionally ineffective. As for the waiver of counsel claim, the Indiana Supreme Court rejected the claim in a careful discussion tailored to the facts of this case. Its rejection of the claim was not contrary to or an unreasonable application of clearly established federal law as determined by the Supreme Court of the United States. See 28 U.S.C. § 2254(d)(1); Harrington v. Richter, 562 U.S. 86, 102-03, 131 S.Ct. 770, 178 L.Ed.2d 624 (2011). In addition to the exculpatory hearsay claim, the related ineffective assistance claim, and the waiver of counsel claim that we address in detail, Kubsch raises a number of other arguments on appeal, all of which are challenges to the effectiveness of his counsel. We have considered all of these additional arguments, and we reject them for the reasons Chief Judge Simon explained in his thorough opinion. See Kubsch v. Superintendent, No. 3:11CV42-PPS, 2013 WL 6229136 (N.D.Ind. Dec. 2, 2013). Accordingly, we affirm the denial of relief as to both Kubsch’s convictions and the death sentence. I. Factual and Procedural Background A. Court Proceedings The State of Indiana charged Kubsch with murdering Beth Kubsch, Aaron Milewski, and Rick Milewski: his wife, her son, and her ex-husband. The three were murdered in Kubsch’s home on September 18,1998. Kubsch was first tried and found guilty in May 2000. The jury recommended and the judge imposed the death penalty. On direct appeal the Indiana Supreme Court held that the first trial violated Kubsch’s constitutional rights when the prosecution used his post-Miranda silence as evidence against him. Based on that and other errors, the court vacated the convictions and ordered a new trial. See Kubsch v. State, 784 N.E.2d 905 (Ind. 2003). Kubsch’s second trial in March 2005 is our focus. Once more a jury convicted Kubsch of the three murders. There were two big differences in the second trial, in addition to avoiding the errors that had required the new trial. First, Kubsch offered as evidence the videotaped interview of Amanda Buck, a nine-year-old neighbor of Aaron and Rick Milewski. Amanda told a police detective four days after the murders that she had seen both Aaron and Rick alive and well at their home on the day of the murders at a time for which Kubsch has a solid alibi. The judge excluded her recorded statement as hearsay and as having no impeachment value. Second, unlike the first trial, Kubsch decided to waive counsel and represent himself in the sentencing phase of the trial. He also declined to present any mitigating evidence. He told the jury he agreed with the State that no mitigating factors outweighed the aggravating factors supporting a death sentence, but he insisted on his innocence. He ended his brief statement to the jury by saying he did not care what penalty was imposed. Again the jury’s verdict was for death and the judge imposed the death penalty. The state courts affirmed the convictions and sentence on direct appeal, Kubsch v. State, 866 N.E.2d 726 (Ind.2007), and on post-conviction review, Kubsch v. State, 934 N.E.2d 1138 (Ind.2010). Kubsch then petitioned for a writ of habeas corpus in federal court, raising many more issues than we address in this opinion. The district court denied relief on all claims, Kubsch v. Superintendent, No. 3:11CV42-PPS, 2013 WL 6229136 (N.D.Ind. Dec. 2, 2013), and then denied Kubsch’s Rule 59 motion, Kubsch v. Superintendent, No. 3:11CV42-PPS, 2014 WL 1260021 (N.D.Ind. March 24, 2014). Kubsch appeals. We review the district court’s decision de novo. E.g., Harris v. Thompson, 698 F.3 d 609, 622 (7th Cir. 2012). B. The Case Against Kubseh Chief Judge Simon aptly described the case against Kubseh as a “slow-moving accumulation of a glacier of circumstantial evidence.” 2013 WL 6229136, at *3. A critical factor was that Kubsch’s account of his own actions changed dramatically between the night of the murders and his trial testimony, after he knew the constraints imposed by physical and other evidence such as telephone records. Kubseh lived with his wife Beth in Mishawaka, Indiana. They shared the home with Beth’s twelve-year-old son, Anthony Earley. September 18, 1998 was Beth’s birthday. She had planned to meet Kubseh for lunch. Beth was supposed to pick up Anthony late in the afternoon after a school dance. When she did not appear, Anthony got a ride home with a friend. At about 5:30, he found Beth’s car in the driveway, along with a truck that her ex-husband Rick Milewski was using. The house was locked. Only Wayne, Beth, and Anthony had keys. No one seemed to be home. There was no sign of forced entry. As Anthony looked around the main floor of the house, though, he saw bloodstains and signs of a struggle. He opened the door to the basement. He saw Rick lying at the foot of the stairs. The handle of a large kitchen knife was sticking out of his chest. Anthony went down the stairs, realized Rick was dead, and also found the body of his eleven-year-old step-brother Aaron lying next to Rick. Anthony ran for help. Mishawaka police officers arrived about 5:45 p.m. Both Aaron and Rick had multiple stab wounds. The police officers found no sign of gunshot wounds. They also found no sign of Beth. After finding no one else in the house, the police secured the scene until they could obtain a search warrant. That day Wayne Kubseh had finished work at an area factory shortly before 2:00 p.m. Late in the afternoon, he was returning to Mishawaka from picking up his son in Three Rivers, Michigan. He dropped off his son at Kubsch’s grandmother’s home. Kubseh arrived home about 6:45 and found the house surrounded by police. Kubseh was told that Aaron and Rick were dead and that no one knew where Beth was. Kubseh soon went with police officers to the South Bend police department for questioning by detectives. That initial interview was audio- and video-recorded. Kubseh appeared preoccupied and careful, not distraught or frantic. He made no reference to the search for his missing wife, though there were obviously powerful reasons to be worried about her safety. He showed little emotion. In that first interview on the night of the murders, Kubseh gave the police his first account of his movements and activities that day. Kubseh said that he and Beth had planned to meet for lunch to celebrate her birthday, but that he had called her to cancel because he had been late for work that morning. He also said that he had gotten permission to leave work early for lunch so he could buy Beth a birthday present (something he did not actually do until much later in the day). He told the police that he had gone home at lunch but could not get inside because he had forgotten his house key. He also did not mention that he had gone home a second time — shortly after work — before going to pick up his son in Michigan. Kubseh ended the interview. His friend Dave Nichols and Nichols’ wife testified that Kubseh called them about 8:00 or 8:30 that evening and said two things known to the killer but not yet known to the police. He told Nichols that Beth was “gone,” which Nichols understood to mean that she was dead, not missing. At that time, Beth’s body had not yet been found. And while “gone” might be explained away as ambiguous, Kubsch also told Nichols that Rick and Aaron had been stabbed and shot. Not until autopsies were done the next day did the police learn that Rick and Aaron, in addition to them multiple stab wounds, had each been shot in the mouth. At about 9:00 p.m., police officers on the scene discovered Beth’s body. She was just a few feet from Rick and Aaron, but she was hidden underneath the staircase behind blankets that young Anthony had hung up as a sort of “fort” or hiding place a few weeks earlier. She had been stabbed eleven times. Her head was almost entirely covered in gray duct tape. Her body was “hog-tied” with the same tape, her wrists and ankles all bound together behind her back. (An autopsy also showed a blow to the back of her head and defensive wounds on her hands and wrists.) The officers quickly told the detectives at the South Bend station that Beth had been found murdered. The detectives then brought Kubsch back for more questioning later that evening. He declined to talk with them at that point, but he gave them permission to search his car. The investigation of physical evidence turned up no evidence pointing conclusively to Kubsch. The only blood found on the scene belonged to the victims. The police did not find evidence of the victims’ blood on Kubsch or his clothing. They also found no DNA or fingerprint evidence that pointed to him or anyone else as the killer. Various items of physical evidence were consistent with Kubsch’s guilt. In isolation none is conclusive. Taken together they point toward Kubsch as the killer, though not definitively. In Kubsch’s car the police found the wrapper of a roll of duct tape of the type used to bind Beth. A bloody roll of duct tape at the top of the stairs matched the wrapper and the tape on Beth’s body. A cloth fiber from the tape roll matched a fiber from the carpet of Kubsch’s car. A receipt for purchase of the duct tape, three days before the murders, was found in Kubsch’s car. The police also found in Kubsch’s car a wadded-up receipt from a deposit Beth had made the morning of the murders at the drive-through window of her credit union. The presence of that receipt in Kubsch’s car contradicted the account he had given police the evening of the murders. (Even Kubsch’s explanation at trial, that he found it next to the home telephone on his first stop at home that day, was improbable if not physically impossible. That explanation would have required Beth to do some improbable backtracking between two related errands.) Of course, the locked house was also evidence that pointed toward Kubsch. The knife in Rick’s chest was from the set of kitchen knives upstairs. A kitchen pan also had Beth’s blood on it. As the prosecutor pointed out in closing argument, if the killer had been a stranger, it seems improbable that he would have counted on tools found in the home — the knife, the pan, and the duct tape — to carry out the murders. Telephone records played an important role in the investigation and at trial. Recall that Kubsch had told police that he returned home at lunch but could not get in without his key. Home telephone records showed that was false. A call had been placed from the home telephone while Beth was running her errands that morning. Kubsch testified at trial that he had in fact gotten into the house — through the garage — where he said he made the call, smoked part of a marijuana cigarette, and then left to return to work around noon. Kubsch also made'numerous calls with his cell phone on the day of the murders. Records of those calls showed his approximate locations at different times during the day. He left work for the day just before 2:00. Though he told the police the night of the murders that he had then gone directly to Michigan to pick up his son, he later admitted he had first actually returned to his home. He claimed that he had stopped at home for a few minutes between 2:30 and 2:45 and that no one else was home. • At 2:51 Kubsch placed a cell phone call from a cell sector near his home. Cell phone records and other evidence showed that Kubsch then drove to Michigan to pick up his son. The State’s theory has been that Kubsch had an opportunity to commit the murders in the time between approximately 2:00 and 3:00. Another important discrepancy in Kubsch’s story was that at 12:09 p.m. he called Rick Milewski and, according to Rick’s brother, asked Rick to meet him at his house at 3:00 p.m. to help move a refrigerator. That request is hard to understand if Kubsch was planning to be on his way. to Michigan by then. (The prosecution’s theory was that Kubsch planned to have Rick find Beth’s body but that Rick and Aaron showed up too early, before Kubsch had left, so he killed them too.) Yet another discrepancy in Kubsch’s story came from Beth’s mother, Diane Rasor. She testified that when she talked with Kubsch on the afternoon of the murders, she mentioned that she had not been able to get in touch with Beth all day (Beth’s birthday, recall). Kubsch reassured her, telling her that he had talked with Beth by phone and knew Beth was running a number of errands and was not at home to answer the phone. Several days after the murders, Kubsch told Rasor that he had not talked to Beth the day she was killed and he wished he had. Kubsch also had a significant financial motive to murder Beth. The prosecution showed that the couple was in deep financial distress in 1998. Their cash flow was consistently negative. Early that year Kubsch had refinanced eight of the rental properties he owned, converting all available equity into cash and substantially increasing the total debt to about $424,000. Several credit cards or lines of credit were • near their maximum limits. About three months before the murders, Kubsch had bought a new insurance policy on Beth’s life for $575,000, with himself as the sole beneficiary. Kubsch claimed at trial that he had not realized they were in such difficult financial straits, but he also testified that he took care of the couple’s bills, as well as their credit cards and lines of credit, and of course he had undertaken all the refinancing earlier that year. As Chief Judge Simon summarized: The case against Kubsch was entirely circumstantial. There was no eyewitness, no DNA evidence, no fingerprint testimony, indeed no forensic evidence at all that' linked Kubsch to the murders. There was, however, moderately strong evidence of motive and opportunity. But most damning to Kubsch was a series of lies, inexplicable omissions, and inconsistencies in what Kubsch told the police and later testified on the witness stand, and these statements — in conjunction with a few pieces of circumstantial evidence — are what almost assuredly-got Kubseh convicted. 2013 WL 6229136, at *1. II. Exclusion of Exculpatory Hearsay Evidence Kubseh argues that he was convicted of the murders through a violation of his federal due process right to present a defense. The trial court did not allow him to introduce as substantive evidence a witness’s videotaped interview with a police detective four days after the murders. Nine-year-old Amanda Buck and her mother Monica were interviewed together by the detective. The Bucks lived across the street from two of the victims, Rick and Aaron Milewski. In the recorded twenty-minute interview, Amanda told the detective that she had seen Rick and Aaron alive and well at their home when she got home from school and daycare, between 3:30 and 3:45 p.m. on the day of the murders, Friday, September 18,1998. The date and time are critical. Based on telephone records and other evidence, the State argued at trial that Kubseh murdered the three victims between approximately 2:00 and 3:00 p.m. Kubsch’s own testimony placed him at his home between approximately 2:30 and 2:45, though he claimed no one else was there. Cell phone records show that by 3:30 p.m. that day, Kubseh was well on his way to the town of Three Rivers, Michigan to pick up his son for the weekend. He did not return to his home in Mishawaka, Indiana until about 6:45, after the bodies of Rick and Aaron had been discovered there. The importance of the constitutional evidentiary issue cannot be overstated. If the account given by Amanda in her recorded interview is correct, then Kubseh could not have committed the three murders for which he has been sentenced to death. And apart from Kubsch’s own claims of innocence — impeached as they are by his shifting accounts of his movements that day — Amanda’s recorded interview is the only support for Kubsch’s alibi defense. Kubseh bases his due process claim on Chambers v. Mississippi, 410 U.S. 284, 93 S.Ct. 1038, 35 L.Ed.2d 297 (1973), and its progeny. In Chambers the Supreme Court reversed a murder conviction on direct appeal. The Court held that the defendant was denied a fair trial when the trial court prevented him from impeaching a witness he had called and excluded hearsay evidence that the same witness had confessed to three different acquaintances that he was the killer. Kubseh relies on the hearsay portion of the Chambers analysis and its often-quoted statement that “the hearsay rule may not be applied mechanistically to defeat the ends of justice.” 410 U.S. at 302, 93 S.Ct. 1038. The actual holding of Chambers is considerably narrower, however, for it depended on the combination of the trial court’s limits on cross-examination and its exclusion of the multiple hearsay confessions, and the particular facts and circumstances of the case, which we describe in more detail below. See id. at 302-03, 93 S.Ct. 1038. We address this issue in four steps. Part A explains the details of Amanda’s statement and its treatment by the trial court and the Indiana Supreme Court. Part B explains the Chambers line of cases and the general constitutional standard for the right to present a defense, as well as its application in cases involving hearsay. Part C considers the factors indicating that Amanda’s recorded statement is or is not reliable for purposes of Chambers. Part D addresses the issue of our standard of review, which turns out to be rather involved, and explains our conclusion that Kubsch is not entitled to relief. A. The Statement in the State Courts Four days after the murders, Sergeant Mark Reihl interviewed nine-year-old Amanda Buck and her mother Monica Buck together. The interview was in a police station and was audio- and video-recorded. The Bucks lived across the street from Rick and Aaron Milewski, and Sergeant Reihl asked them what they remembered from the day of the murders. Amanda answered most of the questions, but Monica added her own recollections, including specific times. Amanda recalled seeing both Aaron and Rick at their home across the street after she got home from school and daycare, which would have been between 3:30 and 3:45 on the afternoon of the murders. Amanda’s account was specific about many details, including what she was doing and which truck Rick was driving. She specifically recalled seeing Rick go into his kitchen and return with a glass. Her account was specific about the time and date. She recalled that she and Aaron were planning to go on a school field-trip the next day, a Saturday, and that Aaron had not shown up for the trip. Her mother Monica recalled having seen Aaron (but not Rick) when she got home shortly after 4:00 p.m. after going to the bank to deposit her paycheck, which she usually did on Friday. The interview was disclosed to the defense, but Kubsch did not call Amanda or Monica as witnesses at his first trial, which took place less than two years after they spoke to the police. At the second trial in 2005, though, Kubsch called then sixteen-year-old Amanda as a witness. She testified that she did not remember whether she saw Rick and Aaron on the afternoon of the murders. She also testified that she did not even remember being interviewed by the police seven years earlier. After her brief testimony, and outside the presence of the jury, Amanda reviewed the recording of her interview. That apparently did not refresh her recollection because Kubsch offered no further testimony from her. Kubsch never called Monica to testify. The real purpose of calling the sixteen-year-old Amanda was to put into evidence the video recording of the nine-year-old Amanda. Kubsch first tried to introduce the recording as substantive evidence. The recording was hearsay, of course. It was an out-of-court statement offered to prove the truth of its content. At trial, Kubsch argued that it should be admitted as a recorded recollection. Indiana Rule of Evidence 803(5), like its federal counterpart, recognizes an exception to the rule against hearsay for a “recorded recollection.” Recorded recollections are records of what a witness once knew when her memory was fresh but now no longer recalls. A recorded recollection also “accurately reflects the witness’s knowledge.” Ind. R. Evid. 803(5)(C); see also Fed. R.Evid. 803(5)(C). Examples might include a diary or journal entry or a memorandum to file, as well as recorded interviews. This recorded statement does not meet the last requirement of Rule 803(5). Amanda would have needed to “vouch for the accuracy” of the statement for it to qualify as a recorded recollection. Kubsch v. State (Kubsch II), 866 N.E.2d 726, 734 (Ind.2007), quoting Gee v. State, 271 Ind. 28, 389 N.E.2d 303, 309 (1979). As the trial court found and the Indiana Supreme Court affirmed, “Buck could not vouch for the accuracy of a recording that she could not even remember making.” Kubsch II, 866 N.E.2d at 735. The videotaped statement did not qualify as a recorded recollection under Indiana evidence law. M Kubseh next offered the videotaped statement to impeach Amanda’s trial testimony with extrinsic evidence of a prior inconsistent statement. See Ind. R. Evid. 613(b). As noted, Amanda testified that she simply did not remember talking to the police and did not remember whether she saw her friend and neighbor Aaron between 3:30 and 3:45 p.m. the day of the murders. The trial court sustained the State’s objection to admitting the statement’ as impeachment evidence because Amanda “testified to no positive fact that is subject to impeachment.” Tr. 3120. The Indiana Supreme Court agreed with respect to Amanda’s trial testimony that she did not remember what happened or whom she saw on the day of the murders. Kubseh II, 866 N.E.2d at 735. However, Amanda also testified at one point that she “probably didn’t see” Aaron at home between 3:30 and 3:45 p.m. on the day of the murders. Tr. 2985. The Indiana Supreme Court held that this testimony was properly subject to impeachment and that the trial court had erred by not allowing the attempted impeachment. Kubseh II, 866 N.E.2d at 735. The Indiana Supreme Court also held, however, that the error was harmless. Id. In the debate in the trial court-about the recording, the State said that if Kubseh were allowed to use Amanda’s recorded statement to impeach her trial testimony, the State would respond with additional evidence impeaching the impeachment. The prosecutor asserted that three days after the recorded interview, Lonnie Buck (Monica’s father and Amanda’s grandfather) had called Sergeant Reihl and reported that both Amanda and Monica had been mistaken about the day they recalled and that they had described for him not the day of the murders but the day before. Monica had followed up with a later statement saying that she and Amanda had not seen Aaron on the day of the murders. At the time of the 2005 trial, the State was prepared to call both Monica Buck and Sergeant Reihl to impeach the proposed impeachment of Amanda. The Indiana Supreme Court explained its finding of harmless error: Amanda’s testimony should have been impeached, but other testimony would have supported hers had she been impeached, and therefore, her testimony likely did not contribute to the conviction. See Pavey v. State, 764 N.E.2d 692, 703 (Ind.Ct.App.2002) (“An error in the admission of evidence is not prejudicial if the evidence is merely cumulative of other evidence in the record.”). 866 N.E.2d at 735. Just before this passage, the court dropped a footnote rejecting Kubsch’s federal constitutional claim under Chambers: The availability of this testimony is also the reason why Kubsch’s claim that he was denied his federal constitutional right to present a defense fails. See Chambers v. Mississippi 410 U.S. 284, 302, 93 S.Ct. 1038, 35 L.Ed.2d 297 (1973) (protecting defendant’s due process right by recognizing an exception to application of evidence rules where evidence found to be trustworthy). Id. at 735 n. 7. Unless we keep in mind the difference between substantive evidence and impeachment evidence, which may be considered not for the truth of the matter asserted but only to evaluate the credibility of other evidence, these terse passages finding harmless error may seem mistaken. After all, if Amanda’s statement were admissible as substantive evidence to prove that what she said in the interview was true, then the mere fact that there was some contradictory evidence would not justify its exclusion. (The State’s proffered impeachment did not include any admission by Amanda herself that she had been mistaken.) Conflicting evidence would simply present an ordinary question for a jury to resolve, as the trial judge recognized, see Tr. 3015, though a question of great importance because the statement would, if believed, exonerate Kubsch. When we focus, however, as the trial judge did on the limited role of impeachment evidence, the harmless error finding is clearly sound as a matter of state evidence law. The only thing Amanda-said in her trial testimony that was subject to impeachment was that she “probably didn’t see” Aaron on the afternoon of the murders. As the trial judge pointed out, “She gave no substantive evidence in this case whatsoever.” Tr. 3032. Amanda’s narrow substantive statement that she “probably didn’t see” Aaron on the afternoon of the murders was not inculpatory. It had essentially no probative value for the jury, so there would have been no point in impeaching her, and the exclusion of her statement for impeachment purposes could not have contributed to Kubsch’s convictions. The Indiana Supreme Court’s rejection of the distinct Chambers claim in footnote 7 is the focus of our scrutiny. In the trial court, Kubsch had not asserted a distinct federal, constitutional claim under Chambers. He made that federal argument in his direct appeal, though, and the Indiana Supreme Court elected to decide the issue on its merits rather than find a procedural default. Footnote 7 was quite sensible to the extent that the recording was being offered only to impeach the non-ineulpatory “probably didn’t see him” portion of Amanda’s trial testimony. The problem is that that reasoning seems not to have actually engaged with Kubsch’s argument under the federal Constitution that the recording should have been admitted as substantive evidence. Again, the mere fact that the State would have offered contradictory evidence would have presented a jury question, not a basis for excluding the evidence in the first place. We explore these issues further in Part D on the standard of our review of the state court’s decision. B. The Right to Present a Defense The exclusion of Amanda’s recorded statement was not contrary to Indiana evidence law, as the Indiana Supreme Court decided. That conclusion does not resolve the federal constitutional question, though it informs our answer to that question. In a series of decisions led by Chambers v. Mississippi 410 U.S. 284, 93 S.Ct. 1038, 35 L.Ed.2d 297 (1973), the Supreme Court has held that the accused in a criminal case has a federal constitutional right to offer a defense. Both the accused and the state “must comply with established rules of procedure and evidence designed to assure both fairness and reliability in the ascertainment of guilt and innocence.” Id. at 302, 93 S.Ct. 1038. In some circumstances, however, the constitutional right to defend takes precedence over rules of evidence. This can include the hearsay rules, as Chambers itself showed. Chambers is the closest Supreme Court case on its facts, so to understand the scope of this right to defend with hearsay, we consider that case in some' detail. Leon Chambers was accused of murdering a police officer in a chaotic disturbance, essentially a small riot, as police were trying to arrest another person. Another man named McDonald had confessed to the murder: “McDonald had admitted responsibility for the murder on four separate occasions, once when he gave the sworn statement to Chambers’ counsel and three other times prior to that occasion in private conversations with friends.” Id. at 289, 93 S.Ct. 1038. McDonald was arrested after confessing to Chambers’ counsel, but he was released when he repudiated that confession at his own preliminary hearing. Id. at 287-88, 93 S.Ct. 1038. Chambers called McDonald as a witness at trial. McDonald’s written confession was admitted into evidence, but McDonald again repudiated it. 410 U.S. at 291, 93 S.Ct. 1038. Chambers was not allowed to test McDonald’s memory or otherwise to challenge his testimony. The state courts relied on the old “voucher” rule under which a party who called a witness was deemed to have vouched for his credibility and so was not allowed to impeach him even if he was actually adverse. The Supreme Court found, however, that the voucher rule was no longer realistic and had been applied to limit unfairly Chambers’ examination of a critical witness who was in fact adverse. Id. at 295-98, 93 S.Ct. 1038. After his attempts to impeach McDonald were stymied, Chambers then offered the testimony of three friends to whom McDonald had confessed. Their testimony about McDonald’s confessions was excluded as hearsay. Id. at 292-93, 93 S.Ct. 1038. The jury convicted Chambers of the murder. On direct appeal, the Supreme Court reversed based on the combination of the voucher rule’s barring impeachment of McDonald and the exclusion of the hearsay confessions. Id. at 302-03, 93 S.Ct. 1038. The Court noted that declarations against interest have long been treated as sufficiently reliable to be excepted from rules against hearsay. Id. at 298-99, 93 S.Ct. 1038. The Court found that the excluded confessions “bore persuasive assurances of trustworthiness” that brought them “well within the basic rationale of the exception for declarations against interest” and were “critical to Chambers’ defense.” Id. at 302, 93 S.Ct. 1038. The Court concluded: “In these circumstances, where constitutional rights directly affecting the ascertainment of guilt are implicated, the hearsay rule may not be applied mechanistically to defeat the ends of justice.” Id. The combination of the limits on impeachment and the exclusion of the confessions led the Court to hold that “under the facts and circumstances of this case the rulings of the trial court deprived Chambers of a fair trial.” Id. at 303, 93 S.Ct. 1038. Chambers does not stand alone. It is the key precedent in a line of cases considering constitutional challenges to rules of evidence that restrict the defense of an accused. See Washington v. Texas, 388 U.S. 14, 22, 87 S.Ct. 1920, 18 L.Ed.2d 1019 (1967) (rejecting state evidence rule that allowed accused accomplices to testify for prosecution but not for defense); Green v. Georgia, 442 U.S. 95, 97, 99 S.Ct. 2150, 60 L.Ed.2d 738 (1979) (per curiam) (vacating death sentence where defendant was barred from using same out-of-court confession that prosecution used to obtain death penalty against declarant); Crane v. Kentucky, 476 U.S. 683, 691, 106 S.Ct. 2142, 90 L.Ed.2d 636 (1986) (rejecting state court’s wholesale exclusion of testimony about circumstances of defendant’s confession); Rock v. Arkansas, 483 U.S. 44, 56, 107 S.Ct. 2704, 97 L.Ed.2d 37 (1987) (rejecting state rule excluding all hypnotically refreshed testimony as applied to bar defendant’s own testimony); Montana v. Egelhoff, 518 U.S. 37, 116 S.Ct. 2013, 135 L.Ed.2d 361 (1996) (upholding state rule barring consideration of evidence of voluntary intoxication in determining mens rea); United States v. Scheffer, 523 U.S. 303, 118 S.Ct. 1261, 140 L.Ed.2d 413 (1998) (upholding military rule of evidence barring use of polygraph test showing “no deception” in denial of drug use by defendant); Holmes v. South Carolina, 547 U.S. 319, 330, 126 S.Ct. 1727, 164 L.Ed.2d 503 (2006) (rejecting state rule barring defendant from introducing evidence of third-party guilt when prosecution has introduced forensic evidence that, if credited, is strong proof of defendant’s guilt). In the Chambers line of cases, the Court has balanced competing interests, weighing the interests in putting on a full and fair defense against the interests in orderly procedures for adjudication and use of reliable evidence that can withstand adversarial scrutiny. In striking this balance, the Court has recognized that “State and federal rulemakers have broad latitude under the Constitution to establish rules excluding evidence from criminal trials.” Holmes, 547 U.S. at 324, 126 S.Ct. 1727 (brackets and internal quotation marks omitted), quoting Scheffer, 523 U.S. at 308, 118 S.Ct. 1261. Those rules are then put into practice by trial judges “called upon to make dozens, sometimes hundreds, of decisions concerning the admissibility of evidence” in a criminal trial. Crane, 476 U.S. at 689, 106 S.Ct. 2142. The latitude exercised by rulemakers and the trial judges they empower proves that the right to “present a complete defense” is not absolute. Id. at 690, 106 S.Ct. 2142, quoting California v. Trombetta, 467 U.S. 479, 485, 104 S.Ct. 2528, 81 L.Ed.2d 413 (1984). Nevertheless, “to say that the right to introduce relevant evidence is not absolute is not to say that the Due Process Clause places no limits upon restriction of that right.” Montana v. Egelhoff, 518 U.S. 37, 42-43, 116 S.Ct. 2013, 135 L.Ed.2d 361 (1996) (plurality opinion). The general constitutional standard can now be stated this way: rules of evidence restricting the right to present a defense cannot be “arbitrary or disproportionate to the purposes they are designed to serve.” Rock, 483 U.S. at 56, 107 S.Ct. 2704. The most recent in the Chambers line of cases explained that the Court has struck down as “arbitrary” those restrictions that “excluded important defense evidence but that did not serve any legitimate interests.” Holmes, 547 U.S. at 325, 126 S.Ct. 1727. We have applied this constitutional standard to grant habeas relief in strong cases. E.g., Harris v. Thompson, 698 F.3d 609 (7th Cir.2012); Sussman v. Jenkins, 636 F.3d 329 (7th Cir.2011). We have also denied relief where there was room for reasonable jurists to disagree. E.g., Dunlap v. Hepp, 436 F.3d 739 (7th Cir.2006); Horton v. Litscher, 427 F.3d 498, 504 (7th Cir.2005). 1. The Parity Principle One way a state rule of evidence may be arbitrary is where it restricts the defense but not the prosecution. Several cases in the Chambers line have emphasized this “ ‘parity’ principle: a state rule that restricts the presentation of testimony for the defense but not the prosecution will generally be deemed arbitrary.” Harris, 698 F.3d at 632, citing Akhil Reed Amar, Sixth Amendment First Principles, 84 Geo. L.J. 641, 699 (1996). For example, Washington v. Texas struck down a state rule allowing alleged accomplices to testify against each other but forbidding them from testifying for each other. 388 U.S. at 22, 87 S.Ct. 1920. Green v. Georgia struck down another violation of the parity principle. In that case state courts excluded hearsay evidence that the defendant tried to introduce in his capital sentencing hearing after the state had used that same hearsay evidence against his accomplice in the accomplice’s trial. 442 U.S. at 96-97, 99 S.Ct. 2150. The parity approach to evaluating reliability enables “defendants to benefit from the balance that the state tries to strike when its own evidence-seeking self-interest is at stake.” See Amar, 84 Geo. L.J. at 699. If the rule excluding evidence is in fact the product of a genuine balancing of interests by the state, that weighs in favor of respecting the balance by regarding the evidence as unreliable no matter which side it favors. See id. Nothing in the record indicates that the State would have been able to introduce Amanda’s recorded statement if it had been inculpatory rather than exculpatory. Whether inculpatory or exculpatory, Amanda “could not vouch for the accuracy of a recording that she could not even remember making,” and her statement would not qualify as a recorded recollection regardless. Kubsch II, 866 N.E.2d at 735. The State thus seems to have struck a genuine balance that excludes hearsay evidence like this no matter whom it benefits. But that is not the end of the matter. The Chambers line of cases can also protect the accused from a restrictive evidentiary rule that is disproportionate to its purposes. That leads us to the question of reliability. 2. Reliability Reliability is the core of the hearsay rule and its many exceptions. See Federal Rules of Evidence, Article VIII, Advisory Committee Notes (1972). Our adversarial system relies first and foremost on in-court testimony. In court, a trier of fact may watch and listen to a declarant whose testimony is offered to prove the truth of its contents, and adverse parties may further test such testimony through vigorous cross-examination. “The principal justification for the hearsay rule is that most hearsay statements, being made out of. court, are not subject to cross-examination.” Rice v. McCann, 339 F.3d 546, 551 (7th Cir.2003) (Posner, J., dissenting); accord, Federal Rules of Evidence, Article VIII, Advisory Committee Notes; 30 Wright & Graham, Federal Practice and Procedure § 6325 (1997). When deciding whether to fashion a hearsay exception, the central question is whether the circumstances and content of an out-of-court statement give the court confidence that the statement is sufficiently reliable to admit as evidence despite the inability to test it directly in court. See, e.g., Chambers, 410 U.S. at 298-99, 93 S.Ct. 1038 (“A number of exceptions have developed over the years to allow admission of hearsay statements made under circumstances that tend to assure reliability and thereby compensate for the absence of the oath and opportunity for cross-examination.”); Fed.R.Evid. 807(a)(1) (residual hearsay exception requires “equivalent circumstantial guarantees of trustworthiness”). The hearsay portion of Chambers thus turned on whether McDonald’s hearsay confessions bore sufficient indications of reliability that a mechanical application of the state hearsay rule violated Chambers’ right to defend himself at trial. The Chambers Court identified four factors that together provided “considerable assurance” of the reliability of the excluded confessions. First, each confession was made spontaneously to a close acquaintance of the declarant shortly after the murder. Second, each statement was corroborated by other evidence. Third, the statements were against the declarant’s own interest. Fourth, the declarant was available at trial for cross-examination. Id. at 300-01, 93 S.Ct. 1038. Green v. Georgia also addressed the exclusion of hearsay testimony. Two men, Green and Moore, participated in a rape and murder. Moore had been convicted and sentenced to death. At his trial and sentencing, the state had used against him his out-of-court confession to a friend that he had fired the fatal shots. Yet when Green was being sentenced and offered the same evidence to show that he was less culpable than Moore, it was excluded as hearsay. 442 U.S. at 96-97, 99 S.Ct. 2150. The Supreme Court reversed, emphasizing the state’s use of the evidence against Moore as perhaps the “most important” reason for trusting the reliability of the testimony. Id. at 97, 99 S.Ct. 2150. But the Court also made note of other “substantial reasons” to treat the confession as reliable. The confession was made spontaneously to a close friend, it was against Moore’s penal interest, there was no reason to believe Moore had any ulteri- or motive to make it, and there was ample corroborating evidence. “In these unique' circumstances,” the Court wrote, “the hearsay rule may not be applied mechanistically to defeat the ends of justice.” Id., quoting Chambers, 410 U.S. at 302, 93 S.Ct. 1038. C. Amanda’s Statement — Reliable or Not? Chambers and Green both reversed the exclusion of another person’s hearsay confession against penal interest when there were substantial indications that the confession was reliable. The problem posed by Amanda Buck’s recorded interview, and specifically by whether she saw Aaron and Rick Milewski on the afternoon of the murders or on another day, is quite different. Weighing in favor of reliability, the interview was recorded, so there is no doubt about what was said, and the interview took place just a few days after the events in question, when memories were fresh. In addition, Amanda was quite detailed and specific in her account. She had nothing to gain by lying and there is no indication that she did so. Other factors weigh against her statement’s reliability, however. The extent of corroboration was central to the reasoning in Chambers. McDonald’s four independent confessions corroborated each other. They were also corroborated by the testimony of other witnesses: one who saw McDonald shoot the officer, another who saw him with a gun immediately afterward, and another who knew he had owned a gun like the murder weapon and later replaced it with another similar gun. Chambers, 410 U.S. at 293 n. 5, 300, 93 5.Ct. 1038. Furthermore, in Green the Court described the corroborating evidence there as “ample,” and of course the state had treated the other man’s confession to firing the fatal shots as sufficiently reliable to use it to sentence him to death. 442 U.S. at 97, 99 S.Ct. 2150. In this case, by contrast, there simply is no corroboration of Amanda’s statement on the critical point, which is whether Aaron and Rick were at their home alive and well between 3:30 and 3:45 on the day they were murdered. (No corroboration, that is, other than Monica’s initial statement that she also saw Aaron at home that afternoon, a statement that Monica later corrected, that was never offered as evidence, and that could not have been admitted as substantive evidence to corroborate Amanda’s statement.) The minimal corroboration for Amanda’s recorded statement distinguishes this case from Chambers and Green and their reasoning. See Rice, 339 F.3d at 550 (affirming denial of habeas relief in part because state court found hearsay statements in question were not corroborated). The availability of cross-examination was also central to Chambers: “Finally, if there was any question about the truthfulness of the extrajudicial statements, McDonald was present in the courtroom and was under oath. He could have been cross-examined by the State, and his demeanor and responses weighed by the jury.” 410 U.S. at 301, 93 S.Ct. 1038. In this respect, as well, the evidence here is quite different from the confessions in Chambers. Unlike the declarant in Chambers, Amanda was essentially unavailable for cross-examination. She took the stand at trial but testified that she did not remember being interviewed by the police or what she said to them. “A declarant is considered to be unavailable as a witness if the declarant ... testifies to not remembering the subject matter.” Ind. R. Evid. 804(a)(3); Fed.R.Evid. 804(a)(3). In addition, during the recorded interview, Amanda was never pushed on the critical details — the date and time she saw Aaron and Rick at their home. The interviewing officer was simply taking her account as she spoke in an interview in the early stages of the investigation. Amanda was not under oath, and Sergeant Reihl did not test her story to see how certain and accurate she might have been. Sergeant Reihl’s gentle questioning, which was surely appropriate for his purpose at the time, was not remotely like cross-examination of the alibi witness in a murder trial where the stakes are life and death. There was no cross-examination here; there was not even a mild challenge. By comparison, when a witness is unavailable, it is clear that even former testimony is admissible under the rules of evidence only if it is offered against a party who had both an opportunity and a similar motive to develop that witness’s testimony by direct, cross-, or redirect examination. Ind. R. Evid. 804(b)(1); Fed.R.Evid. 804(b)(1). Moreover, if the recorded statement had been admitted, the State would have been unable to test its accuracy through cross-examination. The prosecutor would have been stuck questioning a witness who did not even remember making the statement. See Fed.R.Evid. 804(a)(3) advisory committee note (“the practical effect” of lack of memory “is to put the testimony beyond reach”); 2 McCormick on Evidence § 253 (7th ed.) (a declarant who does not remember the subject matter of her testimony “is simply unavailable by any realistic standard”). In the adversarial system of Anglo-American law, we put great trust in the power of cross-examination to test both the honesty and the accuracy of testimony. It is virtually an article of faith that cross-examination is the “greatest legal engine ever invented for the discovery of truth.” California v. Green, 399 U.S. 149, 158, 90 S.Ct. 1930, 26 L.Ed.2d 489 (1970), quoting 5 Wigmore on Evidence § 1367. Without cross-examination to test “any question about the truthfulness” of Amanda’s recorded statement, a powerful assurance of reliability present in Chambers is absent here. Chambers, 410 U.S. at 301, 93 S.Ct. 1038; see also Christian v. Frank, 595 F.3d 1076, 1085 (9th Cir.2010) (reversing grant of habeas relief under Chambers; witness’s “unavailability contrasts sharply with the availability of McDonald in Chambers, which the Supreme Court of the United States stressed greatly enhanced the reliability of the extrajudicial statements in that case”). D. The Standards of Review and Their Application To win a federal writ of habeas corpus, Kubsch must show that he is in custody in violation of the Constitution or laws or treaties of the United States. 28 U.S.C. § 2254(a). Since the Antiterrorism and Effective Death Penalty Act (AEDPA) amended § 2254 in 1996, though, if a state court has adjudicated a federal claim on the merits, it is not enough for the petitioner to show a violation of federal law. The petitioner must also show that the state court adjudication of the claim “resulted in a decision that was contrary to, or involved an unreasonable application of, clearly established Federal law, as determined by the Supreme Court of the United States,” 28 U.S.C. § 2254(d)(1), or “resulted in a decision that was based on an unreasonable determination of the facts in light of the evidence presented in the State court proceeding.” 28 U.S.C. § 2254(d)(2). On Kubsch’s claim under Chambers, our focus is on the state court’s legal analysis under subsection (d)(1), not factual findings under (d)(2). We agree with the district court that the Indiana Supreme Court adjudicated on the merits Kubsch’s federal constitutional claim under Chambers. Footnote 7 of the state court’s opinion made that much clear, see Kubsch II, 866 N.E.2d at 735 n. 7, so we must evaluate the decision under § 2254(d)(1). Section 2254(d)(1) has two distinct prongs, the narrow “contrary to” prong and the broader “unreasonable application” prong. 1. “Contrary to” Federal Law? On the first prong, the Indiana Supreme Court’s adjudication of the Chambers claim was not “contrary to ... clearly established Federal law, as determined by the Supreme Court of the United States.” Because no Supreme Court cases “confront ‘the specific question presented by this case,’ the state court’s decision could not be ‘contrary to’ any holding from” that Court. Woods v. Donald, 575 U.S. -, 135 S.Ct. 1372, 1377, 191 L.Ed.2d 464 (2015) (per curiam) (summarily reversing grant of habeas petition), quoting Lopez v. Smith, 574 U.S.-, 135 S.Ct. 1, 4, 190 L.Ed.2d 1 (2014) (per curiam). Under § 2254(d), clearly established federal law includes only “the holdings, as opposed to the dicta,” of Supreme Court decisions. White v. Woodall, 572 U.S. -, 134 S.Ct. 1697, 1702, 188 L.Ed.2d 698 (2014), quoting Howes v. Fields, 565 U.S.-, 132 S.Ct. 1181, 1187, 182 L.Ed.2d 17 (2012). To note again just the most obvious differences between this case and Chambers, Amanda did not make her statement spontaneously to a close acquaintance, her statement was not against interest, her statement was not corroborated, and she was not subject to cross-examination about the statement. Any of those distinctions would be enough to demonstrate that the Indiana Supreme Court did not confront “facts that are materially indistinguishable from a relevant Supreme Court precedent” and arrive at the opposite result. See Williams v. Taylor, 529 U.S. 362, 405, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000). 2. “Unreasonable Application” of Federal Law? The second and broader prong, whether the Indiana Supreme Court’s rejection of Kubsch’s claim under Chambers was, also in the terms of § 2254(d)(1), an “unreasonable application” of clearly established federal law as determined by the Supreme Court of the United States, poses a more difficult question. The state court’s rejection of the Chambers claim was at best incomplete and at worst wrong and unreasonably so. That poses a methodological question on which federal law is not settled. We explore that methodological question below but ultimately conclude that Kubsch’s claim under Chambers fails whether or not we apply deferential review under AEDPA. The narrow holding of Chambers, based on the combination of the restrictions on impeachment and the exclusion of multiple reliable hearsay confessions by a declarant subject to cross-examination, topped off by the “under the facts and circumstances of this case” qualification, see 410 U.S. at 303, 93 S.Ct. 1038, means that state courts have considerable latitude in interpreting and applying Chambers. See Dunlap v. Hepp, 436 F.3d 739, 744 (7th Cir.2006), quoting Yarborough v. Alvarado, 541 U.S. 652, 664, 124 S.Ct. 2140, 158 L.Ed.2d 938 (2004). Nevertheless, the broader standard that has emerged from Chambers and subsequent cases is that courts cannot impose restrictions on defense evidence that are arbitrary or disproportionate to the purposes they are designed to serve. See Holmes, 547 U.S. at 325, 126 S.Ct. 1727; Rock, 483 U.S. at 56, 107 S.Ct. 2704. The general standard requires a balance of competing interests. The open texture of that standard and the important factual differences between this case and Chambers — lack of corroboration and lack of opportunity for meaningful cross-examination — mean that the Indiana courts could have rejected Kubsch’s claim under Chambers without unreasonably applying clearly established federal law as determined by the Supreme Court of the United States. See 28 U.S.C. § 2254(d)(1); see generally, e.g., Woods v. Donald, 135 S.Ct. at 1377 (“where the precise contours of a right remain unclear, state courts enjoy broad discretion in their adjudication of a prisoner’s claims”), quoting White v. Woodall, 572 U.S.-, 134 S.Ct. at 1705, quoting in turn Lockyer v. Andrade, 538 U.S. 63, 76, 123 S.Ct. 1166, 155 L.Ed.2d 144 (2003). Only rarely has the Supreme Court “held that the right to present a complete defense was violated by the exclusion of defense evidence under a state rule of evidence.” Nevada v. Jackson, — U.S.-, 133 S.Ct. 1990, 1991-92, 186 L.Ed.2d 62 (2013) (per curiam) (summarily reversing grant of habeas relief on Chambers claim: “no prior decision of this Court clearly establishes that the exclusion of this evidence violated respondent’s federal constitutional rights”). Thus, when habeas relief has been granted on a Chambers claim, the facts were a much closer fit to the Supreme Court precedents. In Cudjo v. Ayers, 698 F.3d 752 (9th Cir.2012), for example, the state court had found that the hearsay testimony was “trustworthy and material exculpatory evidence” that should have been admitted under state law but still declined to grant relief under Chambers. See id. at 763. Cudjo thus held that its facts were “materially indistinguishable” from Chambers. Id. at 767, quoting Williams, 529 U.S. at 405, 120 S.Ct. 1495. In discussing the rule that defendants have a constitutional right to present a complete defense, Cudjo also commented that “it would be extremely difficult to say that a state trial court engaged in an ‘unreasonable application’ of this rule when faced with new factual circumstances.” Id.; cf. Cudjo, 698 F.3d at 770-74 (O’Scannlain, J., dissenting). Accordingly, if the Indiana Supreme Court had announced its rejection of Kubsch’s claim under Chambers without any explanation at all, then we would affirm the denial of habeas relief without further ado. See Harrington v. Richter, 562 U.S. 86, 98, 131 S.Ct. 770, 178 L.Ed.2d 624 (2011) (“Where a state court’s decision is unaccompanied by an explanation, the habeas petitioner’s burden still must be met by showing there was no reasonable basis for the state court to deny relief.”). But the Indiana Supreme Court was not silent on the point. It rejected Kubseh’s claim under Chambers in a footnote consisting of one sentence and one citation: The availability of this testimony [from Monica Buck and Sergeant Reihl to the effect that Amanda had been mistaken] is also the reason why Kubsch’s claim that he was denied his federal constitutional right to present a defense fails. See Chambers v. Mississippi, 410 U.S. 284, 302, 93 S.Ct. 1038, 35 L.Ed.2d 297 (1973) (protecting defendant’s due process right by recognizing an exception to application of evidence rules where evidence found to be trustworthy). 866 N.E.2d at 735 n. 7. This terse footnote shows that the state court was aware of the federal constitutional claim and the governing Supreme Court precedent. It cited the page of the Chambers opinion finding that the multiple hearsay confessions by McDonald “bore persuasive assurances of trustworthiness” and should have been admitted because they were so critical to the defense. Keeping in mind the presumption that state courts know and follow the law, see Woodford v. Visciotti, 537 U.S. 19, 24, 123 S.Ct. 357, 154 L.Ed.2d 279 (2002) (per curiam), we find it sufficiently clear that the state court found that Amanda’s statement was not sufficiently reliable to require its admission under Chambers. The state court adjudicated the merits, so its decision requires deference under AED-PA. The problem is that the only reason actually given by the Indiana Supreme Court — the availability of contradictory testimony from Amanda’s mother and Sergeant Reihl — is the weakest reason that might support that result. It was a good reason to treat as harmless the exclusion of the recorded statement as impeachment, but not as substantive evidence. The mere existence of conflicting or impeaching evidence is not a sufficient basis, or even a reasonable basis, for rejecting the statement as substantive evidence. Conflicting evidence would simply present a fact issue for the jury to weigh after hearing all of that evidence. Perhaps the state court also had in mind the stronger reasons for excluding Amanda’s recorded statement, especially the lack of corroboration and the lack of an opportunity for cross-examination, but if so it did not mention them. What is the role of the federal courts when a state court offers such a weak reason for a result that could be a reasonable application of federal law? See Brady v. Pfister, 711 F.3d 818, 824-27 (7th Cir.2013) (identifying problem and discussing Supreme Court’s limited guidance). We must review the actual reason deferentially. But if that reason was unreasonable, do we proceed to de novo review? Or do we, instead of doing de novo review, hypothesize reasons the court could have used to see if they are reasonable under AEDPA? See Stitts v. Wilson, 713 F.3d 887, 893 (7th Cir.2013) (raising but not answering this question). We have interpreted Richter as instructing federal courts to consider what arguments “could have supported” a state court decision when the state court “gave some reasons for an outcome without necessarily displaying all of its reasoning.” Hanson v. Beth, 738 F.3d 158, 163-64 (7th Cir.2013) (affirming denial of relief on Chambers claim based on exclusion of evidence); see also Jardine v. Dittmann, 658 F.3d 772, 777 (7th Cir.2011) (“This court must fill any gaps in the state court’s discussion by asking what theories ‘could have supported’ the state court’s conclusion.”), quoting Richter, 562 U.S. at 102, 131 S.Ct. 770. The Indiana Supreme Court’s stated rationale for rejecting Kubsch’s claim can be described fairly as incomplete. So long as we have an obligation under § 2254(d)(1) to fill gaps or to complete the state court’s reasoning, the result here is not an unreasonable application of federal constitutional law, and relief must be denied on this claim. 3. De Novo Review There is room to argue, however, that the state court’s footnote 7 was not just incomplete but wrong, and unreasonably so. And there is room to argue that where the state court has provided a rationale for its decision, the federal courts should focus their attention on the reasons actually given rather than hypothesize a better set of reasons. See Wiggins v. Smith, 539 U.S. 510, 528-29, 123 S.Ct. 2527, 156 L.Ed.2d 471 (2003) (holding state court’s rationale unreasonable without considering other possibilities); Frantz v. Hazey, 533 F.3d 724, 737-38 & n. 15 (9th Cir.2008) (en banc) (confining analysis to reasons actually given by state court, without hypothesizing alternative rationales); Oswald v. Ber trand, 374 F.3d 475, 483 (7th Cir.2004) (“reasonableness of. a decision ordinarily cannot be assessed without considering the quality of the court’s reasoning,” though “ultimate question ... is not whether the state court gets a bad grade for the quality of its analysis but ... whether the decision is an unreasonable application of federal law”). As we explained in Brady v. Pfister, when evaluating a state court’s reasoning in habeas cases, the Supreme Court has focused on the reasons actually given by state courts without engaging in the exercise of trying to construct reasons that could have supported the same result. See 711 F.3d at 826, citing Rompilla v. Beard, 545 U.S. 374, 125 S.Ct. 2456, 162 L.Ed.2d 360 (2005), and Wiggins v. Smith, 539 U.S. 510, 123 S.Ct. 2527, 156 L.Ed.2d 471 (2003). So AEDPA deference toward state court decisions that reach defensible results for bad or incomplete reasons is not necessarily settled law at this point. This debate over methodology under § 2254(d) may be ripening for a resolution. In Hittson v. Chatman, 576 U.S.-, 135 S.Ct. 2126, — L.Ed.2d - (2015), .a short opinion concurring in denial of certiorari reminded circuit and district judges of the Court’s decision in Ylst v. Nunnemaker, 501 U.S. 797, 111 S.Ct. 2590,