I recall this not being true at all for Dota and Starcraft. I recall AlphaStar performed much better than the top non-pro players, but it couldn't consistently beat the pro players with the budget that Google was willing to spend, and I believe the same was true of Dota II (and there they were even playing a limited form of the game, with fewer heroes and without the hero choice part, I believe).
As I recall, the Starcraft ones heavily involved being able to exploit the computer's advantage in "twitch" speed over any human, it's just a slightly more complicated way of how any aim-bot enabled AI will always beat a human in an FPS, the game is designed to reward a certain amount of physical speed and accuracy.
In other words, the Starcraft AIs that win do so by microing every single unit in the entire game at the same time, which is pretty clever, but if you reduce them to interfacing with the game in the same way a human does, they start losing.
One of my pet peeves when we talk about the various chess engines is yes, given a board state they can output the next set of moves to beat any human, but can they teach someone else to play chess? I'm not trying to activate some kinda "gotcha" here, just getting at what does it actually mean to "know how to play chess". We'd expect any human that claimed to know how to play to be able to teach any other human pretty trivially.