Why would marriage matter? Marriage may be an indicator of something, but there are plenty of successful single parents. I can think of several exceptions I know, all of whom are reasonably successful - one a somewhat well-known academic, one, last I checked, a rabbi somewhere, one, now deceased, a...actually, I forget what she did, but she managed to have a home in NYC and didn't come from a rich background, so she must've done something for a living (her kids were both academics.) When I can think of that many examples of reasonably successful people who break your rules without thinking too hard, there's probably something wrong with your theory, or at least my interpretation of it (sorry if I'm misreading what you wrote!)

Jeff Bezos and Bill Gates would like to have a word.