Actually the “Leftovers” are the best women in many ways. Just like in the west a woman who has graduated from a good university and has a high paying job does not want to marry a pig farmer. Many Chinese men don’t want to marry a highly educated woman in a better job then he has.
Chinese women no longer want to get married at 18, baby by the time there are 19 and divorced by 27.
As you can tell I married a “leftover” as I was no “spring chicken” myself!
Virginity has nothing to do with the saying, it’s an age issue.