What you call „gender norms“ is the result of society trying to contain said differences.

Physical possibilities are differences, drives are different, temperament and it's swings are different. Also many other differences. But hey, let's hide all the differences, strengths and weaknesses... And pretend everyone is equally good at everything.

We need equality, not sameness. Brute-forcing equality-through-sameness sucks on both sides. I'd say girls and women are more affected though. But men ain't taking it easy either. It's a hill I'm willing to take downvotes on.