There's the real rub. The principle issue with this sexual loneliness is an unavailability of consensual partnerships. The men who are not getting sex are not desirable to the women they desire, and they're also not desirable to each other.

Looking back to Greek and Roman times, it really seems that this is not "natural" as much as it is cultural. Culture changes itself, to its own whims. I do not think it can be changed by policy short of genocide (also bad).