I am perhaps in a position (seated, naturally) to discuss both sides of the process. I do remember queuing for a cubicle in McD's at Marble Arch, which is the normal situation in a busy ladies'. One of the other queuing women asked me (with a smile) if it hadn't been quicker and easier when I still had a willy. I didn't enlighten her, but it was true.
Women's bogs are generally cleaner, as wastes are delivered from a seated position. Even the best-designed urinal produces begs the question of "would you like splashback?", and the floor-level 'trench' by the nature of the conversion of PE to KE will always leave one's footwear a little moister. There are other differences, though, such as the odd but frequent discovery in the gents' that someone has decided to leave most of the toilet paper spread al over the floor, or to have built a sizeable log cabin in the pan without feeling the need to flush it away, perhaps as sign of pride in their workmanship.
There is also a different culture, in that men's 'business' is largely conducted in public and it would be seen as 'gay' to pay any attention to one's fellow man, whereas women's business is conducted in a cubicle and so any interaction is done while queuing or washing.