The matter could be complicated by female prostitutes with male customers, so that the amount of sex that each gender wants because of sexual desire is quite different. On the other hand, I don't even have an intuition about what proportion of sex is with prostitutes.
so that the amount of sex that each gender wants because of an internal drive is quite different.
"Because of sexual desire" would perhaps be more accurate. The internal drive for acquiring resources is rather ubiquitous and powerful. It plays a significant part in certain long term mating strategies as well as prostitution and is also not all that different than the drives for status affiliations that have such a strong influence on other sexual and social behaviors. The cases where a distinction based on lack of internal drive comes clearly into play are with such things as sex slaves and rape.
From The New York Times:
So how sketchy is the research on human sexual behavior, anyway?