It's because the Chain of events really doesn't match up if he started it when kabuto sliced him in half sasuke clearly picked up his sword early he would have stilled had it but didn't, even if that was a real the snake skin isn't in sight that's what i believe.
How don't they match up?
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is where the loop was closed. After he was cut in half. From here on out, Kabuto is stuck in the loop. Everything before that was just him setting up Izanami.
Not even 100% sure how you came to the conclusion that the snake skin and Sasuke's sword absolutely have to be in the same exact spot for this to make sense. Regardless, at the end of the day, we have a very clear explanation that is not refutable unless you want to say that Itachi lied to us.
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First you make movement A, then you replicate movement A as A'. How would Izanami activate on the first movement when A' movement has been made? His diagram and explanation make it clear that A and A' both have to be completed before a loop can be made, as A is the beginning and A' is the end of the loop, then it resets from there.
On a side note, when will Draegod hop off my nuts? The shtick is getting pretty old. Manchild stays crying about me over an internet forum when he preaches "it's not that serious" to everyone and anyone who ironically doesn't take it as serious as he does. Biggest fan I tell you. Probably has some homo erotic obsession with a dude he doesn't even know, since my name always seems to be in his mouth, or posts rather. And he also agrees with the most incorrect posts despite his claim of "memorizing the entire Manga".