Some competitive (PvP) games are basically imperfect chess. Just like you'd learn chess, and eventually move on to studying matches, you would do the same with some (PvP) video games, like DotA etc.
On the other hand you could literally have a game to see how long you can keep pushing a big read button (dopamine inducing effects and sounds included of course!).
The variance is huge. We couldn't make a blanket general statement about brain development from tabletop games that include say Snap / War, Checkers, and Chess. And that's not even a sliver of the variance video games gave.
P.S. I'm by no means a gaming advocate. IMO video games are becoming (have become) Vegas 2.0 and I could list a huge number of potential negatives.