I have worked with women who are clearly smarter than everyone else in the room, and take the entire group to a new level. However with every guy I have worked with we can argue the entire meeting (and maybe get emotional), but then at lunch time it's like it never happened. From my experience, if you argue with most (not all) women in the conference room, do not expect her to forget about it the next day.
This is a stereotype that has never panned out for me. Most of the time when you think the men have "let it go," they've just passive aggressively suppressed it. I'd rather deal with someone who is obviously pissed at me than someone who is secretly pissed at me any day of the week. (The passive aggressive thing has been much, much more prevalent amongst nerds, in my experience, compounding the problem)
On the other hand I can remember a colleague of mine not talking to one of our teammates because of a personal reason. This, i think, affects business.