Not read the entire thread before replying because I'm a terrible human being, but...
Why would any parent want to model being a gamer to their child? It's not like you're modelling volunteering in a food bank is not?
You play pointless violent games, so what? Why is that good for girls? I'd understand if you were an astro physicist as that is an area where girls need more examples if successful women. But Call of Duty to promote the feminist cause, not convinced.
Most hobbies are pretty pointless. Watching TV or a movie is pointless. But studies have shown that girls that play games in childhood grow up to be far more tech savvy, and are more likely to consider a career in a STEM field.
The gaming industry is horrifically sexist so you’re up against all of them really
Bit of a sweeping generalisation there. I work in games, and the vast majority of guys aren't sexist at all - in fact, they're some of the most accepting folk I know, with zero tolerance for sexism, racism or homophobia. I have worked with a few arseholes though, and I think it's worse in the US where they have fire at will employment policies, and a bit more of a bro/jock culture.
Maybe I've just been lucky (I've heard some horror stories), but I'm sure the industry will improve as more women join.