I wonder if you could creatively combine this model with search algorithms to advance the state of the art in computer chess? I wouldn't be surprised to see such a bot pop up on tcec in a couple years.
The thing is classical chess (unlike eg; go) is essentially "solved" when run on computers capable of extreme depth. Modern chess engines play essentially flawlessly.
We really have no way to know this. But I would be very surprised if modern chess engines didn't regularly blunder into losing (from the perspective of a hypothetical 32-piece tablebase) positions, and very very surprised if modern chess engines perfectly converted tablebase-winning positions.
Tcec games are deliberately played from imbalanced opening positions. The draw rate would be much higher for the top participants if this wasn't forced. However, I agree that engines are not perfect. I have heard this claim many times before a new engine came along that showed just how beatable the state of the art engines still were at the time.