Just to take this one step further, I can remember a time in my 20s when I heard countless times "Rollo, you need to respect women" from both women and men as if by saying this to me I would stop wanting to hook up with the strippers, groupies and club girls I was getting with then. At that time I didn't give much thought to it, but I do remember thinking how odd it was that women were entitled to my respect by default, but I never heard anyone ever tell a woman that they "needed to respect men". There was never an onus on women to respect men by default.
Now, of course I think we'd agree that men must earn respect from each other and from women. However, from a very young age boys, at least by and large, are taught never to hit a girl, watch your language, carry her books, respect HER, but there is no opposite dynamic for women. Everything is fair game; kick him in the nuts if he cross the line. Obviously I'm referencing things from a traditional standpoint, but now extrapolate this into modern culture where single mothers and emasculated men cover the cultural landscape. Even in traditional Latin cultures where women tend to prefer masculine men, it's not formally taught to them to respect men.
So this is my point, women don't respect men, or rather, they don't respect the masculine - and most certainly don't have a default respect for it. They're taught to be adversarial, not cooperative. Masculinity is popularly ridiculed in western culture as it is, but to respect a man is to compete with him, to out-masculine him. Cooperation or even recognizing that the genders could be complimentary is viewed at best as antiquated, at worst, submission to the male.
I should also add that I don't think this dynamic is limited to the Daddy-Issues strippers or coed sluts. I've personally known very well standing, church going puritanical women, who'd cringe to be called a feminist, parroting back the very ideologies, practicing the behaviors and subscribing to the mindset (albeit in different ways) of disrespecting the masculine. They were just as loud and just as obnoxious about it as any girl in Panama Beach, Florida on spring break.