Of course they do. A cross dresser is not really a manly man precisely because he denies what makes himself a man, that is his masculine opposite in relation to the feminin woman.
Same with effeminate men, they are precisely defining themselves with reference to feminin archetypes. Homosexuality was precisely seen as a perversion by many societies for this reason. You want to make a claim which seems historically inadmissable to me, that gender is wholly a modern construct, and all societies before 2016 only based all their understandings on genetalia. If only it was that simple!
Remember: there is no such thing as a sexual relationship! meaning that man and woman only exist with recourse to their opposites.