Well, GTA is a bad example though, because you're right, it's a satirical story and it's making fun of the crime film genre which is typically inhabited by men.
I guess what I'm getting at is, there are more stories to be told than the ones were telling currently. Sure, these stories fit their niche and are a good example of the culture they embodies. But then, we've told those stories about a thousand times by now (and yeah yeah, we will for a lot longer too, cause there are only so many different kinds of stories even to tell), so why not, just for the sake of doing something new, tell a story from a different perspective, one that we don't hear often?
And fine, the argument can be made that maybe males aren't able to write from the female perspective, so then why not hire some more female writers and just see what happens?
I'm not trying to say to gender these things specifically for its own sake, I'm saying that, even as a white male in his 20s, I am getting tired of the stories video games are telling. I'm getting tired of the stories movies are telling. I see a narrative everyday, and it's like, it's not hard to just say, "eh, more equality in stories could be cool."
Do I think the video in the OP is a good representation of the feminist movement? No. They probably edited that video down to just the "buzz" worthy bits and put that up.
If the creators of video games don't wanna write female protagonists, fine, they don't have to. But I wonder why there can't just be more people saying "hey, let's just make it about a chick, cause, forget it, why the forget not?"