Most people already hire based on previous experience over academic knowledge. (apart from first-job candidates) Not sure how feelings come into this one.

That's a different kind of experience. If you would want to build race cars, most likely you would want to hire a person who can design race cars instead of people who know how to drive them.

A man can be just as good at dealing with cultural issues related to gender. A man can have just as much experience in sorting out cultural issues as a women, unless I am missing something here.