That's not what he's saying. He is saying that your father and my father shouldn't be supremely unequal. Ie your father being a CEO and earning 10s of millions every year and my father working a product manager role at a small company.
Very often there is a huge factor of pay difference between roles like these.
In my parents' generation it would not be absurd to buy a small house here to raise the kids in, with a single parent working and the other caring for the kids, even if you don't have a well-paying job. A decent job will do.
Compare to now, double income, no kids, both earning above average wages. Buying a house before you are 50, or at all? Forget it.
Just that those people who inherited the house now basically have enough to buy 2 houses out somewhere on the countryside if they decide to move.
I think it’s pretty clear, a system where a family can’t guarantee their offsprings success is one where the family is unable to do anything to improve their children’s fates.