The strongest players would be the "best" cheaters but also the least likely to cheat. Top n players for small n would only need one "this move is important" hint per game to significantly improve their rating. Very hard to detect of course. But when you hear the actual top players talk about chess they genuinely seem interested in playing the game and not so much driven by chasing some accomplishment of winning. It's quite hard to get to that level without having the genuine interest.

But also their games are subject to the most scrutiny and study and they themselves will spend a lot of time publicly talking about and analyzing their own games, those "cheat" moves would stand out as ones which were hard to see and had bad explanations after a while.

> What happens when it’s a strong chess player

A strong chess player would have to weigh the risk of losing all their progress and reputation if caught cheating.

After this current situation, I expect the penalties for being caught cheating will be severe. Whether the cheater is banned from all future events or not, nobody will want to support them, nobody will want to associate with them, and they will essentially be cast out of the entire chess world.