They're already at the table. It's way past the point of just a few rowdy jerks. These are people who want to control the conversation through threats in order to silence targets and critics. Saying that they don't deserve attention isn't really the focal point of why they're doing it.
But are they really controlling the conversation? All I've seen reported are the vague terminology of 'more ethics' (read: we don't like 'x'), and the death threats.
Gamergate isn't actually contributing to a conversation with the industry or the journalists who report on it. it's sole contribution (afaik) beyond Kotaku being more careful in stating conflict-of-interests and something with Gamasutra advertising, has been to basically 'shield' hate speech/harassment and death threats in order to silence opposition, (with the accompanied result of driving women out of the industry). And hopefully, the authorities have gotten involved.
Essentially, the movement's point (if there was one) regarding ethics has been forsaken in the quest for harassment and threats. But, barring policing the entire internet, you aren't going to shut down the harassers. People can be determined assholes.
You'll win some of the masses reporting on (as in not being silent) evidence of GG's flawed nature and lack of effectiveness as it continues to come out, and hopefully, the movement dissolve due to the actions of the people who are showing the true story, but the real misogynists hidden within the movement are just going to move on to a new venue/platform. (I'm not saying that like it's a good thing, because it's not. It's really, really shitty)
When you get into "don't feed the trolls" nonsense you're predicating everything on "they'll go away once you stop responding" and it frankly isn't true.
But at the same time, if you do rage back at them, does that stop them?
The death threats need to stop. The harassment needs to stop. And since GG is associated with that, it needs to be denatured.
But I'm not sure if shouting back repeatedly at what essentially seems like an ill-informed 'mob' is the most effective way to make that happen. (I'm not saying being utterly silent and hope it goes away is my response either, that'd be ludicrous)
My original point was moreso looking at Jeff's intention as not being to tell people 'shut up and it'll go away'. Rather, it was more to deny the trolls the possibility of furthering their conversation, while at the same time acknowledging and telling women in the industry 'don't give up'.
Edit: Is it the best argument? Probably not, but I don't necessarily see it as dismissive either.