After careful consideration, I have decided to explain my thoughts on this subject in a bit more detail.
First of all, there's the argument that GamerGate isn't about misogyny, and that it's unfair for the media to keep characterizing it as such. That's fair enough; a mere glance at Twitter will confirm that there are more than enough people voicing reasonable (if not necessarily sound) complaints to show that generalizations like that don't hold up. However, I'm sure that for a lot of people, probably including the media, GamerGate is already permanently linked to and irreparably tainted by Quinn's harassment. There's just no getting around the fact that this whole thing was started by a vicious, sexist harassment campaign based on charges that didn't hold up to scrutiny and would still have been pretty inconsequential even if they had. Now, I hate to sound like I'm throwing around insincere "If I were you" concern trolling, but I have to agree that if there's any future for the movement, it's not going to be in clinging to 4chan's legacy by repeating "GamerGate!" Insert some analogy about building a house on a rotten foundation here.
As for the arguments being made by GamerGate itself, there appear to be two main ones - that the gaming media is far too close and comfortable with the gaming industry, and that the gaming media is comprised of social justice warriors who hate gamers and are determined to create a future in which the only games we ever play are ones like Gone Home or Depression Quest. It's funny, because saying that both of these are issues at the same time really only makes sense if you're looking at the indie game industry. It's true that the gaming media does have a liberal/progressive bent, as most online media does, and so do a lot of indie developers, like Quinn. The problem with concluding that the stage is therefore set for a rabidly-PC future of terrible video games is that the influence that indie developers wield is practically non-existent when compared to the mainstream video game industry. It's these guys, the AAA developers and publishers, who are setting the trends in gamer culture, and if there's one thing that they're definitely not, it's progressive.
I could go a bit more into that if anyone disagrees, but to conclude, the media's fawning over almost every AAA title churned out directly contradicts the assertion that they have some elaborate SJW agenda to stop making our games fun or whatever. Sure, these journalists will write an essay once in a while talking about cultural appropriation or how we need more diverse video game protagonists than "generic dark-haired white guy with stubble," but that means almost nothing when they're accompanied by endless 9/10s. If they were really such dedicated SJWs, they'd be outright panning games like FC3 or GTA V and encouraging boycotts of them. That would do far more for the cause than shilling for indie nobodies like Quinn.