My other comment adds more context to this. But basically no, I was just trying to say that:

1. Stereotypes are harmful because they pigeonholed people and attribute qualities to each individual, however they are also grounded on some level of truth, which provides some level of utility. Dismissing them is dismissing that element of truth. Be honest, if you had a small child and had to leave them with a random woman or a random man for a few hours, which would you be more comfortable with? Of course, if you had to leave them with someone you knew well(like your brother vs your sister) there would be almost no difference.
2. Women and men (talking about group averages, not individuals), have different predispositions. In US 97.6% of preschool and kindergarten teachers are female. Why do you think that is?In my view, it's a combination three main factors: ability to do the job, finding the job fulfilling and discrimination. Even if we got forcibly get rid of discrimination by enforcing 50/50 quotas, why would we want to force people in roles that they would be worse at and find less fulfilling?

It does suck for the people who actually have the talent for jobs in fields where they face discrimination and we should always be looking for sensible ways to approach discrimination. I will note however that there is less discrimination now that in any moment in history, yet people still try to suggest the most radical of changes, which annoys and baffles me to no end.