Do people who date get married faster?

A lot of people say that when a girl decides not to date boys and rather to wait until a boy comes and proposes for her in the right way, then often she will end up waiting very very long until she is married. And that the women who don't wait and go out and find their own will be married off quicker. I have heard of cases like this and it is very demotivating. Is this some sort of proven or authentic fact? What basis do people have to say this?