Sometimes, but I doubt they do it on purpose. I think it's more because there's a very prevalent stereotype of the "perfect guy" and when a woman sees another guy treat his girlfriend like she's his world...well, I imagine she (the other woman) would dream of being treated just as well; thus, the reason why she ends up wanting a man that other women want.
I suppose some women do end up wanting men that other women want. There is something of a fierce culture of rivalry and competition in female culture that is harsh and hard to understand. It's not always nice or flattering for a fella when several women are fighting for him.