I think video game players are probably actually left-leaning on average. GamerGate seems to have created massive misunderstandings on all sides of the issues. (And no, I'm not defending it or denying things that occurred.)
Game players yes. Prominent gaming channels are a mixed bag though. "Bro culture" is very much a thing and casual homophobia and racism is still very widespread.
I'd say "liberal" is a more accurate descriptor than "left-leaning". I'd call PewDiePie liberal but not a leftist by any stretch of the imagination, for example.