[cxr]

I don't think that's true, let alone self-evident.

In any case, a life spent solving crossword puzzles would almost certainly deliver more positive net effects to the "player" (and society at large) than a person spending a lifetime getting good at chess. It really is odd that chess is considered so refined, laudable, etc. We probably shouldn't put it on a pedestal any higher than where we place video games.

(In fact, video games might actually be better—and I'm not saying that as someone staring up from a batch of sour grapes and/or looking for an excuse to play video games; that's not how I spend my time.)