The video game examples they give are what's called Real Time Strategy which is quite different from the games you described in which players explicitly take turns.

Chess and Go are already quite different from NLH, because they are purely about strategy. The best strategy in Chess either wins or leads to a draw if played by both sides every game. In NLH an optimal strategy just breaks even (ignoring the rake) against other optimal players and makes money on average against anybody else. But over even a few hundred hands you can't tell.