A Seed Doesn't Grow in a Sandbox
It is a Negative Sum. Placing inferior people in unearned positions makes it dwindle away.
I think you might be contradicting what you just said regarding the class ladder and the heiristocracy (nice turn of phrase, I like that one).
If the heirs are the ones that set all the rules to financial success, why does the setup still allow for heirs to fail and their dynasties to crumble beneath them when they're not competent?
Seems like the rules favor not only those who inherit advantages from their predecessors (which, by the way, is the same in literally any economic system you might hope to erect), but also those who are competent (also the same in any system).
Inheritance Is the Hidden Cancer That Has Destroyed All Civilizations
The exception proves the rule. When a few spoiled brats lose it all, it says nothing about their overwhelming undeserved advantages and their absolute control over the rules for letting wannabes make it. In fact, one of the class-climbers' mottoes is, "You have to want it bad enough."
To be fair, it is only logical that 1% of those born in the 1% who wind up in the 1% actually belong there. But even those deserving successes make far more than 1%ers should. There should be no billionaires. So if Bill Gates is worth $50 billion, he ought to be worth $50 million but maintain his same rank among the wealthy.
If Aaron Judge hit 300 homers in a season, he'd still have only 50-homer talent. So conditions would have to change, such as giving every player the right to appoint his son to his position, which would conform to the prevailing economic structure. In that situation, the pitchers would be far inferior to what they are today.