If you believe there exist innate psychological differences between men and women that make this true, that’s already against progressive orthodoxy.
If you think socialization is what makes this true, then it’s weird that “patriarchal” socialization makes the disfavored class better people than the favored class, and it would be weird to argue we should change how women are socialized given that the current regime apparently makes women highly moral.
It doesn’t make sense even within their own worldview if you think about it for 2 seconds. But that’s fine because it’s not meant to describe reality. It’s meant to be a content-free applause line.
Obama: "If you put women in charge of every government for two years... I have a strong belief that things would be better. I'm confident about that."