I don't know. I've seen clips where he tells a reporter that the place they were standing is where Terri said she last saw Kyron (which matches direct statements from Terri), but adds that this was a thing she changed - again, without any kind of details of what changed and how. I'm always suspicious when a lie is postulated based on the difference between something said by A and something else B claims A said, and I'm doubly so when B won't even say what A said, just that it was different from what A's other statement. People misunderstand, people misspeak, information gets garbled when moving from person to person.
Take the staircase. Based on what Terri has said (on Dr Phil), she ascended the staircase by the gym to reach the 2nd floor hallway, and that she then saw Kyron last from the top of the staircase by the offices (this is the staircase Kyron ascended). I think it's fair to say that if you tell this to someone ("I climbed the stairs by the gym to get to the 2nd floor hallway, and that is where I last saw Kyron. I was standing at the top of the stairs at the time.") with everything perfectly clear in your mind, they will interpret the staircases as the same one. So when Terri is confronted with this ("There's a door between the top of the gym stairs and the hallway, so how could you see him?") an explanation will invariably sound like she's changing her story ("No, I walked out the door, walked to where the office staircase is, and that's where I last saw Kyron") when she really isn't.
Terri has never said anything about a line at the dry cleaners. All that comes from Desiree, who also claimed (in the Morris book) that the dry cleaners hadn't seen Terri coming in - which we know is false. Considering
Terri's lawyers were the ones who supoena'd the dry cleaner staff, I doubt Terri ever denied being in there.
Perhaps the most interesting thing in the Morris book is the revelation that the emails were between Terri and the stepmother of Desiree's other son, Q. The two were in regular contact since they cooperated in getting Kyron and Q to Desiree for their visits. The topic was apparently an incident where Terri had to talk to Kyron about bad touching, and the difficulty involved in stepparenting. We know Kaine and Terri had disagreements on discipline (
here's Kaine's side). I think Desiree in general
reacted very badly to anything negative about Kyron, so I very much doubt there was any actual hate in these emails - especially since Kaine, who also read them, said there wasn't (on dr Phil). A further point in that favor is that Desiree had an
almost equally visceral reaction to the
leaked emails - and we can read these and see that they are very innocuous.
I think debunked is the wrong word to use here, unsubstantiated more like. I know that when the
details emerged from the
deposition of the landscaper, it made very little sense - this supposedly happened in a public restaurant, and Terri had her daughter with her. The language barrier was certainly there, as the landscaper needed an interpreter for his deposition.
Desiree claimed on multiple occasions that Kyron cried when he was going to go back to Kaine and Terri - nothing about Terri in particular that I'm aware of. On Dr Phil,
Kaine countered her, saying that Kyron would also cry when he was going to Desiree. It seems, despite the best efforts of everyone, Kyron had problems adjusting to the split family life.
Desiree has gone back and forth on this - first he wasn't, now he was. At the time, neither
Kaine nor Desiree claimed to be aware of Kyron being in the talent show. However, at least
two parents in the school mention that he was. Whatever the case was here, we don't know the whole of it. It's possible Kyron was just assisting a friend and didn't tell his parents about it.
There has never been an official confirmation, but there has also never been an official denial. We simply don't know. I find it ludicrous that Terri would claim there was one if there wasn't - since she had to know she would have been found out immediately.