If I received a man's hair cut it would piss me off to pay more than a man does.
I, however, go to a stylist and they do way more stuff to my hair than just a cut, so I am fine with paying more. I am also fine with paying more to have my hair done in a professional calm peaceful; setting where they stylists are not on the phone, fist fighting, pulling each other's hair, nor have their kids running around screaming.