You have the causality backwards. All violent video games started out as stress relief for game devs having to deal with gamer culture. All of the bad guys were originally gamers before marketing reskinned them as terrorists or something.
Call Of Duty was originally called Invade Gamerstan. GTA V was Gamer Roadkill and the infamous torture scene was originally just a bunch of gamedevs explaining to a gamer that his favourite protagonists were all trans.