Only partly. In DOTA for example one of the more common cheats is scripting that provides the player with reaction time more like a pro in triggering items and abilities.
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.