Ah. OK. Now I see your point clearly. You mean the 'high level' rationality in focus on LW. I agree that that is indeed not trained explicitly by the games I have in mind.

But then the question is: Are there games that address that kind of hight level rationality? Or does any game or rather a suitably high number of games or the extreme immersion in the game qualify?

It seems that my reference to rationality in the LW sense taken literally makes your argument justified.

Would you agree that the following goal would better match the game objectives I have described?:

"Games that train specific concepts helpful in understanding and reasoning about cognition, complex human behavior and strategies to aquired even more compelx concepts."

I'd take it that you'd prefer a Doctor who can do 1) and 2) to one that does only 1). And that is what I have in mind.