Its like impossible to cheat at baccarat or punto banco. you don't even touch the cards. High rollers love to play baccarat. They bet big and fast and can run up serious money like he did.
Oh dear...
Have a look at some of the linked articles: if the cards used have a printing flaw, and you can convince the dealer to arrange the cards in a certain way for you, then you can gain an advantage. That is, apparently, exactly what happened in Ivey's case.
It's also not true that you don't get to touch the cards in baccarat (at least, not in all cases). As far as I can tell, a big attraction for some players is that there are games where they
do get to touch and "squeeze" the cards. I've never understood the fascination myself, nobody ever changed the value of a hand by squeezing it, but some people seem to think this is a very important feature of a baccarat game
You're right on the other points though, and it's a big part of the reason the casino tried to get Ivey to agree upfront to playing for two nights. It's probably also why they continued to let him play, even though it should have been obvious that he was advantage playing: they thought there was a good chance he'd lose it all back and then some anyway.