The rich already do this with private tutors or they do what Paul Graham does and one of the parents becomes a stay-at-home full-time tutor for their children.

You know the most common thing you hear busy people in their 40s and 50s say when their kids reach a certain age? "I wish I'd spent more time with my children". Easier != better.

Is it still "your children" if someone else is doing all the "parenting"?

I am of the same opinion but I've seen some adopted kids (brought to the first world) who are more than ready to throw away the adopted family and all the goodwill thrown their way just to get a chance of getting with their biological parents (third world, not well off) regardless of how the latter might not want to have any connection.

Sometimes it seems our base instinct make for the undoing of the quote "the covenant of brotherhood is thicker than the water of the womb" sadly

Gut reaction: If you've got the kind of $$$$$$ to do that well, in a passably-prosperous first-world country...then instead spend your money helping out a few couples who want to be real, in-person parents - but aren't nearly as wealthy as you.