Uh isn't an easier explanation that society encourages people to get hobbies fitting their gender stereotype and discourages the opposite?

There is no dude stuff, there's what society thinks dude stuff should be and people raised as dudes are more likely to get hobbies matching these expectations.

nobody thinks trans women are "the same as" cis women. The only thing any woman is guaranteed to have in common with another woman is that they are a woman. That goes for all types of women