Its true. When men break off relations, he usually still has some measure of emotional attachment to the girl but has decided to try his luck with another, maybe because he's more physically attracted.
When a woman breaks it off, its a severe emotional break. All of her love is invested in another and you might as well be roadkill. Women usually never come back, and if they do, their hearts aren't in it anyway. Only exception is if there wasn't another guy in the picture during the break, but that is so rare as to be irrelevant.