I think you've hit the nail on the head. When I see a slogan like "don't be seen as misogynist" my brain fills in "don't be seen [by whom?] as misogynist."
Is Stallman actually impeding the FSF's mission, or just pissing off a vocal silicon valley minority who are already on board with the mission?
From the FSF website: "The Free Software Foundation (FSF) is a nonprofit with a worldwide mission to promote computer user freedom. We defend the rights of all software users."
I don't see "make sure RMS feels important and in charge" anywhere in the mission, but I do see "the rights of all software users" in there. Maybe the FSF hasn't noticed women using computers yet?