I wonder if there is a word for this strategy of "he said a word I didn't like therefore I will hyper-fixate on this one word, completely ignoring his entire argument while adopting an outraged and righteous tone".

I could do the same for "antiquated paternalistic views of women's sexuality". Is that your way of shaming men for preferring virgins? You're fighting a losing battle there. It's innate. You can't change it. Morally weak and sexually desperate men will pretend it doesn't affect their perception of a woman but it does. It's in our DNA. The males who genuinely didn't care were killed off by natural selection.