Women aren't just "called upon" to do child rearing, it's a huge part of their biology. In addition to giving birth and developing a strong maternal bond, women breastfeed their children which is not as convenient at work.

And as for high-powered careers being a status symbol, I would offer that a man's socioeconomic status is a major component in attraction for women. The reverse is true to far less of an extent. The stats on dating apps bear this out.