Ok, maybe "not so proof", but concrete: In the Book of Thoth Crowley describes that Levi done some switches in his book to keep some disinformation. In next pages after that Crowley tells about path switches he made, especially IV and XVII. But in chapter dedicated to IV, The Emperor, he describes how this card reflects connection between Chockmah and Tiphereth. So he contradicts to itself. Do you believe that was made by accident?
I agree it is an anomaly, but the Star/Emperor switch is a bit bigger than that flub, and is discussed exhaustively both in Crowley's other works, and this forum. There are a few other cases in the BoT where it is evident that he was looking at an earlier version of the card than what was ultimately published. As to contradictions, they abound, especially in the tables. On the other hand, the relatively few times he says that a certain grade is needed to understand this or that idea isn't obfuscation, but admission that some schooling is needed to grasp some material.
Also read the part of the Book of Thoth, where he describes how Sephirots emanate. The way they emanate is primary, they follows one concept. Making switches in paths contradicts to these emanations. And if you'll switch IV and XVII cards back to original place and switch numbers of XI to the VIII (as it is in some other dacks), you will ALMOST get right path numbering and you'll see another hidden switch no one talks about. if you'll fix that switch you will get tree where sephiroths follow the same rule for emanations via paths (don't forget about Daat)
I'm not sure I understand this part. He felt he was justified in making the changes, considering the dictation of the Book of Law. The SY does not dictate which paths connect to which emanation, which is why everyone has a crack at doing it themselves. Even the original, pre-GD Kirtcher Tree isn't the "original," it isn't even
correct. It is merely a model adopted by many that seems to work. That Crowley made changes to the original GD Tree is merely making a mutant out of a bastard, so that even without the authority of Aiwass, Crowley was well within his rights to change things, as is anyone else, really.
I don't understand which "hidden switch" you're referring to, but that's probably because it's hidden. As for Daat, I've never seen it appear prominently in GD texts, if at all. They either ignored it or didn't think it was worth wasting time over. It certainly doesn't appear in the BoT Tree.