"The traits that both men and women associate with good negotiators are tied up with ideas of masculinity — such as rationality, assertiveness and self-assurance"

Maybe those qualities are also helpful in a job itself, if not in general? Particularly in a senior position of leadership?

I don't think you can have both a standard that's different for what skills a woman should need learn to succeed, and at the same time have equality. This seems self-evident.