I’m not trying to do a WATM, my view is working to get rid of gender will help women AND men to be free to behave/live in the way they want.*
Abso-fucking-lutely.
You don't have to be a girl to wear a dress. Be a boy in a dress. Hell, be a boy with pigtails, nail varnish and a dress. You're still a boy.
Shag men. Shag men and sometimes women. Shag women. Shag no-one. If you've a penis, you're a man, and you've as much claim to that title as anyone else.
You don't have to be a mum to take time off work to care for children. You don't have to be a woman to take leave to run your elderly parent to a hospital appointment.
But socialisation makes it so - being a loving, sensitive or caring man is always commented on. Either negatively ("man up", "big boys don't cry") or positively ("well-trained", "aren't you good?")
This is why transgenderism is not progressive at all. It plays into gender stereotypes and is often homophobic. Ever stopped to think why you rarely hear "transmen are men", or why there are specific clauses in the dogma to exclude trans-identifying women from inheriting ahead of a younger brother (primogeniture) or going topless in a pool? Transmen and transwomen are both seen as a subset of women and it's because any person who doesn't rigidly fit a strict code for men (the elite, #1 thing to be in this world) is kicked out and othered.