There were rumors after the Sandy Hook killings that the killer had been a big player of violent games.
Turned out he was more into Mario games and Dance Dance Revolution.
But the fact that that claim always seems to come up is revealing. When a younger person kills, there has to be an explanation, and a scapegoat. But most of all, there has to be a way to distract from actually doing anything about the underlying problems - like a lack of avenues for dealing with mental illness, gun accessibility or, well, anything else that might make a real difference. It's just easier to blame games and movies and call it a day, so it's an easy thing to demagogue it up on.
But I sense that the tide is starting to turn. Now that the average gamer age is somewhere in the thirties, it's getting a bit harder to make broad claims about censoring a field that more and more adults and parents are familiar with (and therefore know isn't making people into killers) even though politicians still hit on this. They may think the old standby issues never die. But this is one that shifting cultural realities and demographics may very well put to rest soon.
Hell, even most of the women I know from personal life and from work grew up with at least a hand me down video game system they have fond memories of, so even appealing to concerned mothers may not have legs on this issue anymore in quite the same ways as in the past.