The only thing that really differentiates men and women is physiology, everything else is cultural and, as such, purely subjective and artificial.
You say that like physiology (including brain chemistry) has no influence on behaviour or development. Male monkeys prefer trucks and female monkeys dolls, without any societal pressure to conform with traditional stereotypes. Human girls exposed to higher levels of testosterone or androgen during prenatal development will often exhibit more 'masculine' toy preference and play behaviour, even if their parents encourage 'feminine' toys and behaviour.
There are lots of things for which gender is irrelevant, and technology is expanding that, but there are always going to be differences in what men and women feel attracted to (in terms of averages or tendencies of the groups).
