At the end of the day, most people are after wealth to give their children advantages. Either advantages they had growing up, or advantages they didn't have growing up. Granted there is diminishing returns here, i.e. a billionaire's children aren't likely to be much more advantaged than a child from a family with a net worth of $100 million.

Until the US gets away from the idea that education is a for-profit industry and something you pay for, almost all highly accomplished children will come from wealthy families.