re: Crackpot ASOIAF Theories SPOILERS

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And it also makes Tyrion much less respectable IMO. Killing a woman just seems like a big jump for him, although him finding her with Tywin makes it believable at least.

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To me, it showed that Tyrion had cracked. He puts up with so much shite from absolutely everyone and just tries to go on with life being a little pImp as usual, but the Tysha revelation and then seeing Shae, who he probably trusted more than anyone else in King's Landing, had betrayed him as well, he just snapped.

As for Tywin, I think that discussion was a few pages ago wasn't it? Someone posted things that made it seem like Tywin was the one who had a secret passage built to Chataya's whore house, so it may not be as out of character as you think.