Honestly, I would be quite fine with a shitload of money and a meandering purpose in life. I think that's true of most people, including the larger subset of the "super-rich" that didn't choose to whine in an article in the Atlantic. Most people have a meandering purpose in life anyway, and mixtures of reliable and unreliable friends. It's not something special royalty gets to lay claim to.
The primary difference appears to be that the royalty can choose who they want to be, where-as not all of the plebeians have that luxury ("dream it, live it" self-help bullshit aside, one still has to pay for food and shelter and dependents). And the poor rich children are depressed because they have all their options open to them...
I seem to be saying this a lot, but here it is again: cry me a fucking river. :-)