Actually the evidence that she does not play video games - to the extent that it's even a relevant question - is a lecture she gave in 2010 during which she says "I am not a gamer". Now, not being a 'gamer' does not mean that one does not play video games. The term gamer can mean a little more than that, to say one is 'not a gamer' might actually mean that one does not sit indoors all day playing video games. My kids aren't 'gamers' either, but they sure play alot of video games.
The lecture clip is also given without any context, so it's really impossible to say what she intended her statement to mean.
In addition, some guy on youtube - who rather creepily uses a synthesized voice to narrate his videos, but whatever, maybe he's mute - has put together a whole series of videos which attack her statement that she plays videogames. This guy has apparently read every tweet she's written, and every facebook update she's made - which is a bit obsessive but again whatever, maybe he's got plenty of spare time - and claims that her lack of videogame-related social media output is evidence that she doesn't play videogames. During the time that I had a facebook account, I also didn't made any video-game related comments. But I sure played alot of video games. And I would also have said of myself that I was "not a gamer".
All this seems typical of the response to her position - as far as I can tell no-one has actually engaged with her points. It's all been "she's an attention-whore" or "she's professionally offended" or whatever. No-one seems to try to intelligently counter her points, they just attempt to discredit her character.