There is a social context that makes gender-swapping not entirely symmetrical. Men and women are not treated equally by a large portion of the population. These differences in treatment have repeating patterns and tendencies that create a bias that does not average out.
Just to be clear, both men and women suffer from these biases. Think “provide for family”, “parental leave”, “children custody”, “real men don’t cry” for men. Women get the short end of stick in terms of autonomy and respect though…
They are not my standards. Describing reality does not mean you’re happy about it. And yeah, that’s sexism, patriarchy, whatever you want to call it.