Wide-spread objectifying & overt sexualization (& other kind of gross treatment) of women has far more far-reatching consequences in society than violent video games do. Violence in real life is extremely frowned upon by a big portion of humanity and illegal in all but the most extreme cases (in most places). Most people understand mindless real-life violence is wrong. They understand the pain that violence causes so they don't generally resort to it or put themselves at the risk of being hurt by violence unless they feel they really have to (or have anger management issues).
Violent video games are simply so far removed from real life that playing violent video games doesn't really mirror real life in any way. Sexists, objectifying attitudes towards women are a much bigger daily issue, when men learn those kinds of attitudes from everywhere in society. It's in tv shows, movies, lyrics in music, games, porn. Men grow up learning that women are there for them to take or to please men first & foremost. This kind of attitude is pervasive in society in everyday life.
It does give me pause that many of us agree that media shapes our culture, our beliefs and our attitudes yet somehow shooters are exempt from this. This line of argumentation makes little sense to me because if "distance" from real world violence is what makes violence in video games okay, you could make the same argument to justify any kind of "problematic" content or other, more specific violence. I don't need to spell this out but I think you can guess where this line of argumentation leads us if we applied it to sexual or racially-motivated violence.
This is especially disturbing because I'd argue that military shooters are one of the most popular and widespread expressions of violence against non-white people in Western mainstream. And we all know how attitudes towards black and brown people, especially Muslims, have shifted in the last two decades.