I can't find it anymore, but there was a paper or maybe study looking into the question of healthcare outcomes for just such "people of means." Iirc there was some interesting data which showed being able to afford doctor shopping and concierge service was sometimes correlated with poor outcomes compared to the standard of care overall. I think it makes sense, the patient can demand what they want and then get it, but they're not necessarily armed with the knowledge or perspective to make the informed decision. If they can afford to find a doctor who values a lot of money over anything else though, they can get it, and that might not work out so well for them.

Michael Jackson, Joan Rivers and Lisa-Marie Presley for example would probably all still be alive if they didn't have the money to simply buy the healthcare they wanted, damn the consequences and cost.