It's not banning the games, it's banning porn in general.
Once that's done, they declare that any sort of LGBT content is inherantly pornographic, meaning it can't be shown anymore.
LGBT creators can't get their works out, LBGT characters aren't allowed anymore, people have to go back to hiding who they really are.
This is all detailed in that Project 25 shit that the US Republicans are working from (from what I've heard anyway, I will admit I haven't verified that)