I don’t think that actual mysogynists would care about SW anyway: until the Disney movies, there weren’t that much women in SW movies-series but they always were strong characters : Leia, Mothma, Padmé, Ahsoka, ShaaK Ti, Sabine… and now Rey, Jyn, Rose, Holdo and, my favorite from the Disney Era, Hera Syndulla).
Most misogynists are not “actual misogynist” by your definition. The OT has basically one speaking female character of any significance throughout the whole thing. Your average misogynist is gonna love that, and it’s reflected in the absolute cacophony of complaints about Rey.
It’s like saying racists wouldn’t like Star Wars because Lando was in it. If these people were that discriminating (ha) there would be nothing for them to watch. You’re talking about the absolute extreme misogynists, not the average ones (who are still very bad people).