It isn't exactly damning evidence to refute your claim, but some beautiful people find it very hard to get dates because their looks are intimidating. For example - https://www.dailymail.co.uk/femail/article-10411887/Playboy-... (possibly NSFW images if you work in a convent or something).

I mean, cry me a river if you're a Playboy model who can't get a date, but it is plausible.