Well, personally, I met a good number of attractive people (male and female) who play video games. Be it mobile games, PC games or console games.
So if I were to meet someone who is attractive and they tell me that they play video games, I don't go: "OH! YOU PLAY VIDEO GAMES!? *shock horror*". Instead, I go: "So, what games do you play?"
Besides my own opinion, there is a reason(be it good or bad) why that stereotype exist:
When people play games(especially if said game is a PC game or a Console game), they are facing an object, rather than a human. So, as nobody is judging them on how they look (rather, how they play), they can be in the nude and no one will judge them (except for maybe the gamers on XBOX Live who call them 'fags').
And more so, gaming is a rather lazy hobby (let's be honest here: most us are sitting down while playing; that isn't very healthy in the least.) So people tend to pack on some weight.