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> I suppose any strategic, turn-based game breaks down as soon as you have a world class engine for it.

Yep. Perhaps just a consequence of technology and an oncoming "singularity" ... professional sports just don't make much sense anymore apart from their value as entertainment (which is already questionable in the case of Chess IMO) and all of the noise around cheating etc is much more about "being immersed in the story" just like good film directing and VFX/SFX. You're either a fan or aren't and that's just how it is.

Hopefully the love and appreciation for amateur sports makes a return ... not much to cheat for if the only prize is pride and pleasure.

In Poker all skilled players remember all probability tables, and there are heuristics for calculating probabilities on the flight, and players also count chips, so any players has all the information for theoretical optimal bets. The game happens on estimating bluffs and adjusting your strategy agains opponent bluffs.

Exactly. Even just a unary hint that a particular position is dangerous would be a huge advantage to even a moderately skilled player.