Do you have data to back up the claim that private healthcare out performs public? I don't mean "if I have millions of dollars I can get treated for whatever I

Do you have data to back up the claim that private healthcare out performs public? I don't mean "if I have millions of dollars I can get treated for whatever I want, whenever I want", I mean "if you are an average person, with an average income, and average insurance what is the time to a necessary procedure, and how much will it cost you". You can always find articles with people complaining about service in countries with actual PHS, but in my experience the same thing applies to US hospitals, with the added fun that your insurance may simply not cover anything so there's no waitlist by virtue of no treatment options, and then even if it does cover it you can still have a huge copay.