Earlier quoted context omitted.
But where did the wealthy parents come from? You're setting up a chicken and egg problem for yourself. Wealth had to start somewhere, as I doubt you'd argue that it was handed down to certain families by a deity. Heritage is important. A person does not just have more opportunity because of the wealth of an ancestor - they exist because of that ancestor. Does everyone not deserve to have whatever their ancestors chos…
If you go down the history, most wealth was stolen from people violently and from then on anybody born into these aristocratic families would continue benefiting from the wealth. A lot of new wealth has been created by people born into poor / middle class families in last 1-2 centuries for sure, especially 20th century. But there are still families today that are wealthy and their wealth have been with them for 400-5…
I don't think it's society's responsibility to look back further than the formation of that society. For the US, I think you can safely use 1776 as a starting point. The US formed itself with the express purpose of creating equality for the original settlers.
If someone is violating those principles, society should punish accordingly. If not, society is not "rewarding wealth". They are allowing for the fact that everyone is someone else's child, and that comes with it certain rights.