The last one, "I liked a feature of her" is not misogynistic absent of context. The context here is really important. It's like saying "I like your haircut". Did I pass up promotion for another person in a non-modeling job because they had a shitty haircut?
It was just unprofessional I would say.
For instance I can appreciate a dark joke that would clearly be sexist/racist/antisemitic/homophobic, I can even reproduce it in a like-minded circle of people, and I still don't consider myself sexist/racist/homophobic.
You can make a sexist joke without being sexist, but it can still be inapropriate/unprofessional, and it can still cost you dearly.
I've had my haircut mentioned at work… because I'd had a haircut. It's people trying to be nice or make conversation, and neither of those things are unprofessional.
I understand your point, of course, but it does not actually explain theirs.
I work from home so the only person who remarks on my hair is my wife, and her comments, if overheard, might pass for misandry. I'm trying to forment a Twitter mob against her in response.