Earlier quoted context omitted.
I suggest it is not difficult to find a better determinator than parental wealth.
Are you a parent? I'm not sure you understand what you're playing with here.
Determining someone's future on parental wealth means determining someone's future on a lack of parental wealth - and a vast majority of parents don't have meaningful wealth.
So we're (society is at present) consigning a majority of children to a life of missed opportunity and missed potential. I don't see how that can be a good thing.