See rishiispushed I believe a gender role is assigned based on biological sex. This is based on historical fact when biological sex assumed the "gender role". I don't believe a trans woman would be expected to follow the same role as biological woman regards housework. Nor do I think they'd be paid based on their gender identity but rather their biological sex. Which is why I don't think it's based on gender roles as such.
And this is why the trans gender stuff has blurred the lines. Trans woman generally don't want to do a stereotypical gender role of a woman in all areas of life. They don't want to accept gender pay differences but what access to the sex based privileges of female spaces.
However I expect in reverse trans men would expect equal pay to biological males. But I also think they wouldn't want to be expected to take on the stereotypical gender role of woman - even if they chose to have a child as their biological sex allows.
So in conclusion 😂 - I don't think anyone really knows the answer. It's become too territorial rather than actually trying to find an answer that allows everyone just to live their life free from judgement and persecution.
If the sex difference didn't provide different pay scales then what someone chooses to wear wouldn't make such a different as one example.
I miss the days of studying sociology 