Absolutely no. They don't believe that crap at all, because truly believing it would be clinical insanity. No one, not a single one of them believes that transwomen are women and all that. Well, apart from the genuinely clinically insane ones, but they are an extreme minority that would not be able to organize on social media to create angry inquisition mobs.

Which is why I hate them. They are perfectly aware they are saying a malicious lie for nasty, sexist and homophobic reasons.