One apt editorial piece I read in a magazine many years ago (EGM, maybe? It's been too long to recall) made the distinction between "Gamer Girl" and "Girl Gamer," the former being the quiet-about-their-gender game-loving female (defining themselves first as gamers, and second as girls) and the latter being the in-the-hobby-to-get-male-attention female (defined first as girls, then secondarily as gamers). Let's call them Type A and Type B for now.
The two types will always exist, so long as gender matters to us (which, as sexual beings, it always will). But Type A girls are not all attention seekers. And many of the Type B girls probably enjoy games very much - they just also enjoy attention. This may be unseemly to a lot of people, and is usually pretty annoying to those who don't think of multiplayer as a dating service, but it is hard to fault them too much for a natural (if immature) human behavior.
It becomes a problem when annoyance with immature behavior from select members of the opposite gender becomes an excuse to revile all members of that gender, and a justification for the perpetuation of really vile, sexist behavior against them. Granted, sexist behavior in online speech exists in the same vein as homophobia and racism in online speech - arrogant children (of many age brackets) who use limited anonymity as a shield to say horrible things because they get off on getting away with being little shits. But that does not make it okay, and it doesn't mean we should shrug our shoulders at it and turn a blind eye.
But that's a different discussion.
More to the point at hand: The Type B girls are engaging in a very typical ritual of attraction, highlighting traits they think will gain them positive attention from the opposite gender. Guys do this all the time, accenting things about themselves that they think girls will find attractive - they just rarely use videogames as a point to highlight, as girls are still not typically considered to be interested in games (this notion is, of course, widely false, but still pervasive). But, with guys, we often consider it skeevy or creepy to take on attractive aspects disingenuously, with the intent to deceive girls into initial attraction to gain some sexual advantage. The same feeling often comes in to play with Type B girls - because they use their gaming as a means to draw attention, they are seen as being disingenuous, as being untrue to the hobby, using it as a means to gain some sexual advantage.
I personally don't think this is the case. Type B girls may be seeking attention, but this behavior is a sign of immaturity, not maliciousness; it is purely benign, and should be addressed the way all forms of immaturity ought be addressed: by educating the person, or by ignoring the person.
And honestly, while the girl in that video may be trying to get guys looking at her, she did shell out for a gaming PC. I mean, I'm a gamer and I'm still using an old Dell laptop from 4 years ago for most of my PC stuff. Her dedication to the hobby apparently outweighs mine.
EDIT: And before anybody says anything - I am saving up for an upgrade. But times are tough, and money's tight.