So if men are better chefs, then they should do the cooking! :) Of course, I’m being facetious.
Women certainly are designed to raise children. I do not disaggree with that. Men are designed to protect and provide. I definitely think that women should stay at home with their children if they have them.
That being said, some women are better at cooking than some men, and vice-versa. Women’s skill set is not just limited to raising children, though that is a set that they have. Of course, some men are also very good at raising children, and it takes both a man and a woman to successfully raise children.
I do not agree with you, however, that every skill but raising children is “man’s domain.” Certainly there are skills that are distinctly masculine, but there are many things that both sexes can do equally well.
In reality, there are precious few things the sexes do equally well. And the compulsion to say otherwise is simply due to social pressure and misconceptions.