I was in graduate school at an Ivy League school. The worst professors I dealt with in terms of being least supportive of my having any  kind of life outside graduate school were women. It's a wonderful idea that the sisterhood would enable women to succeed, but speaking as someone who was vilified by her female professors for daring to get pregnant while she was working on a PhD, it didn't happen for me.
My guess is that any woman president hired now by Harvard would have to be a product of the brutal dog-eat-dog pedagogy that's practiced there and other elite schools. Not sure she would come in and be any more supportive. But do I think what the current Prez said was outrageous? Of course.