Myself I think it's the "earned" privilege that is the real poison. In real terms most of it is totally undeserved - but even if it was "deserved" that wouldn't really make it better. It might even be worse, because the privilege and inequality would be more secure.

At least lottery winners know that they are just lucky, and birth is just one lottery among others.

Steal a lot and they lie down and worship you, that's true. But to be king you normally have to be a descendant of thieves rather than a thief yourself. And the real power lies with the thieves rather than the descendants of thieves.

Royalty are the decoration on the tree of privilege. If the tree gets brought down, the decoration comes down too - but taking down the decoration by itself is no help in bringing down the tree.