Its hard to talk about the dominance of a certain sex in interpersonal relationships without making a bunch of generalisations. For a start, women's courting at clubs and whatnot isn't simply limited by their makeup, because women, as with men, also have to be confident, or you're just going to feel like a small fish in a big pond. Women can be shy too, and making us synonymous to our vaginas alone is an example of why feminists take offence at how they are presented by society.
What exactly is being revealed here? That many men are uncomfortable with the pressure of being an alpha male and that some women wield their pussy with the intent to manipulate? We're all human, and we don't necessarily have to conform to the active and passive stereotypes of men and women.