The video is disagreeable for 2 reasons:
#1: It fails to recognize the duality of the problem. Attention whores, while a minority in the community, have soured the picture for the entire "gaming girl" demographic. SOME Girls are to fault as well
#2: It's solution fails to recognize the sociology of the internet. Spending time to stand up to a sexist when it's a person you know well is worth it. Standing up to a random person over the internet is a losing battle 99% of the time. It's often better to "not feed the troll" and simply ignore the person.
#1: Every problem has more than 2 sides, so there's a lot more than a duality to this problem. But in a 3-minute video, you've got to make some choices about to what to focus on and what not to focus on. "Attention whore" is a term used by boys who didn't get enough attention from their mothers - probably bottle-fed - and now they're projecting their frustrations on to anyone who does get attention. "Attention whore" is in the eye of the beholder. In reality there is no such thing as an attention whore. It's a mirage created by the experiences of the beholder.
#2: Standing up to racism and sexism and homophobia is a side effect, it's a secondary goal. The primary goal is not be racist, sexist or homophobic yourself; in other words, to be an example for others. Feeding the trolls can sometimes further a conversation, though there are no guarantees. By not feeding the trolls, the only guarantee is that the conversation will never happen in the first place. It's the conversation that gets ignored, not the person.
I disagree. The same could be said of any other fight for equality. I'm sure that fighting for civil rights in the southern United States probably seemed like a losing battle as well...doesn't mean that it's not worth trying to illicit positive change.
And calling a group of women "whores" because they are standing up for themselves? I'd argue that this sentiment IS the problem.