The existence of gendered statistical tendencies (some of which, I agree, are rooted in biological realities) doesn't mean that there aren't social structures that penalize people for deviating from those tendencies.
E.g. on the woman's side of things, a woman who is messy is judged worse than a man who's equivalently messy would be, which is society actively pushing women toward taking up more household responsibilities.
On the man's side of things, a man who is a part time teacher's aid for the sake of work-life flexibility is judged as lazier than a woman doing the same thing would be, which is society actively pushing men toward taking up more work responsibilities.
Really doubtful about these claims. I know gender studies has generated tons of studies like that, but the quality is low.
And in these examples, what would be the repercussions for being perceived as lazy? If he wants a family, the problem for the part time working man would presumably still to be able to provide for a family, which would not be an issue of perception, but of actual shortage of money. If he doesn't want a family, it doesn't matter. The difference is that a woman would never need to earn enough to provide for a family, so the judgement "too lazy to provide for a family" would not apply.
And a messy woman's household will be seen and judged by whom, exactly?