When we talk about androgynous fashion, we usually mean female-presenting people in outfits that incorporate or echo menswear. One seldom sees male-presenting people doing the same with womenswear, at least in the mainstream.
I think some of that must be a side effect of the privileging of traits, roles, and characteristics associated with masculinity over those associated with femininity—a woman in masculine-associated roles or clothing is moving in the direction of higher status and increased social privilege, at least implicitly; a man in feminine-associated roles or clothing, lower. We associate women in menswear with freedom and assertion; men in womenswear with deviation, grotesquerie, and parody.
How fucked up is that?