No. They want her to stop talking about misogyny in video games because they want women to stop gaming. They want people to stop caring about misogyny in video games because everyone agrees that women just shouldn’t game. They want women out of gaming culture so they don’t have to think about women as people. They want to have a space where no one will complain about misogyny because they don’t see it as a problem, and they think women won’t receive these kinds of threats if they just shut up and bake cookies and let men do the talking.
This “how they’d feel if their mom…” line of thinking is such bullshit because you know what? They might not like the abuse the woman in question was receiving but they would agree with it. They would tell the woman in question to be quieter, to step back, to just leave it to them. I’ve heard them do/say exactly those things. “Well, you brought in on yourself.” “You know how it is.” “I wouldn’t say it that way but they’re right.”
These “trolls” are enjoying it. They are having fun. This is fantasyland for them. They have an excuse, a justification that has brought them social approval within their circle, to unleash the things they spend the rest of their lives not saying about women. They don’t want Sarkeesian to stop. They want to beat her. Her stopping is not good enough. Her consenting to quit is not good enough. They want to make her stop. They want to win.
It is the abrogation of her consent and the pain they cause her—and, by proxy, those who relate to her—that brings them the most pleasure. They do not get the same thrill if she walks away. It is not enough for her to shut up. They have to ignore her “no”, silence her voice, cause her pain, and ensure that others like her know they’ve done it without any consequence in order to get their full thrill.
If that sounds sociopathic, abusive, rape-y, and worse to you—then you’re getting the idea.