I would say so. Not always, of course. Many get tired of vain, shallow women and date on personality.
I have seen attractive women shied away from by attractive, sensitive guys because they are afraid she will be another heart-breaker. And, the short, ugly, egotistical guy gets her!
Besides , beauty in eye of beholder. I don't care for really skinney women, nor Julia Roberts or Angelia Jolie. More, Kate Capshaw , Marie Osmond, Zooey Deschael (even she is a bit skinney), or a young Jennifer Connelly or Carolyn Jones.