Normally I am morally opposed to the I'm just going to sit here and wish that my true love will save me one day, and if he does, I will marry him at first sight and then, and only then, will my life mean something sort of themes because I find them impossibly sexist, ill-advised and insulting. However, in Cinderella's and Snow White's cases, you have to be a bit more understanding.
When it all comes down to it, these are battered women. Now, of course their abusers are actually their stepmothers and not brutish, overly-aggressive cavemen, but nonetheless, each have been terribly mistreated by people they really have no choice but to live with. It's imperative to their health and safety that they get out of these toxic environments. A complete stranger who can offer some sort of refuge definitely resides on the greener side of the fence. And, hey, he might as well be a prince.
I mean, let's look at their list of no choices:
You can't fault them for picking the option that includes not only less chores but potential happiness even if it is abrupt, slightly insane and rash. It's called survival.
(It's okay if you're still skeptical.)
Although Cinderella isn't the strongest role model, at least she's resourceful. And she's brave. She doesn't let her slave-driver captors ruin her spirit.
Buuuut, she is also incredibly lucky. Having the ability to make a Fairy Godmother appear out of nowhere when you most need her is a talent that few have been able to posses.
(But don't forget that Cinderella and Snow White both have weird and somewhat unhealthy relationships with animals. We still can't eliminate the very real possibility of a psych disorder in both cases.)