If Hitler hadn't eaten a bullet and been recruited as the head of the CIA and said the holocaust had been done behind his back and against his wishes, these people would've believed it

I feel like Hitler was probably fucked no matter what because the execution of some of the very top Nazis was important for propaganda reasons, but if Hitler was caught and tried and killed, there are probably other high-ranking Nazis who would have been recruited (the kabuki theater being satisfied by killing others) and said just as you describe