I live next to a baron, next town lives a count. Both are just moderately wealthy humans.
There is one distinction that sets them apart from "new money": They could not leave without loosing a significant part of their identity and influence.
I grew up among socialists, I have no love for aristocracy, but in times when the schism between rich and poor widens a caste of people that are bound by custom to be loyal to a place, meaning they are reluctant to abandon their local community, might be worth more than we think.
When wealth is mobile, so is responsibility. But when your name, history, and even public expectations are tied to a specific region or estate, there's a kind of inherited social accountability that's harder to walk away from