And all the best ones have most, sometimes nearly all, services provided by private, as opposed to government owned, entities. So bringing up the VA is just a strawman.
“I think if Thomas Jefferson were looking down, the author of the Bill of Rights, on what’s being proposed here, he’d agree with it. He would agree that the First Amendment cannot be absolute.” - Chuck Schumer (D). Yet, Madison and Mason wrote the Bill of Rights, according to Sheila Jackson Lee, 400 years ago. Yup, it's a fact.
But anecdotes =/= evidence, good or bad. Same reason that SOME leaders of SOME countries have traveled here for SOME medical procedures isn't actually much of an argument for any particular arrangement of a healthcare system that serves 350 million individuals. Do SOME leaders of SOME countries travel to countries other than the U.S.? How many compared to those who travel to the U.S.? Etc.