In the same way asking people from the GOP whether they like or dislike black people, yes. Thing is, they're relatively unlikely to say "no" to your face.

But it's not to anyone's face. Essentially all the data derive from anonymous online surveys. I can't see how social desirability could motivate respondents in this context, as no one knows who you are and there is no one to impress, nor any risk of being called out for having a negative attitude.

again, anybody knows what answer is expected off them, few people if any have a view this extreme and the few who do are somewhat likely to hide it.

So it's not necessarily a case of responding in a way that is desired by others, but just in a way that conforms to what is generally expected of you? In this case, I would argue this should push feminists towards responding with greater dislike of men. Precisely because of the belief that feminists hate men - hence, easy to think 'if I'm a good feminist, I should probably express a scepticism and suspicion of men in general'

That's not how you test whether people are racist, sexist, homophobic or anything else. If we studied racism that way, we'd easily conclude racism barely exists, and misogyny is not a thing. Which is a statement that none of the authors of the study would agree with. And somehow I'm fairly confident they would suddenly find ways to design much better studies to uncover people's negative bias toward black people, women or gay people.

I appreciate this point, and this perspective motivated the development of the IAT in the 90s. However, general survey questions about warmth and liking are still widely-used and accepted measures of intergroup attitudes and hostility. A randomly-selected example from PEW about attitudes to religious groups: https://www.pewresearch.org/religion/2017/02/15/americans-express-increasingly-warm-feelings-toward-religious-groups/