English Is not my first language, but I agree that should be called female privilege. The same when women don't get drafted. I think that inference you mentioned is one of the reasons people have negative thoughts about feminism, when in reality all it aims to do is get rid of the different social pressure men and women receive. The point of feminism is not to hate men, but to disentangle our society of harmful expectation, to make it more fair for both men AND women. Circling back to the clothes thing, feminism would have it for women to not be judged by women for repeating clothes, and to give another opposite example, feminism would have it for men to have an easier time entering childcare.

"Based on your description it seems like that would be called female privilege but I don’t think I’ve ever heard that phrase used in a genuine fashion before."

I don't get the concept that you need to hear other people use 'female privilege' specifically in some kind of way for there to be privilege to be applied to women, that's a very strange Idea, white women in particular have often been used as the biggest examples of white privilege, both as the persons being favored and the enforce or catalyst of violence. You seem much more wrapped up in some kind of sectarian US Against THEM dichotomy rather than even engaging with the discussion.