I mean, I know a bunch of rich people that have set up huge trusts for their children. They also have a significant power I don't have either, so what.

Obviously with royalty and nobility it is difficult to separate the personal from the public, but honestly I think the UK royal family probably does that separation better than most. And to be honest, you have lots of rich families in the US who are of the "born on third base and think they hit a home run" type. At least with the monarchy in the UK, they know that 100% of their position is due to pure hereditary luck, so at least they throw in some concept of "duty" to make the bargain palatable.