Here are a couple quotes from Cochrane’s piece that addresses some common concerns over non-government medicine.
What about the homeless guy who has a heart attack? Yes, there must be private and government-provided charity care for the very poor. What if people don’t get enough checkups? Send them vouchers. To solve these problems we do not need a federal takeover of health care and insurance for you, me, and every American.
And (emphasis mine)…
No other country has a free health market, you may object. The rest of the world is closer to single payer, and spends less.
Sure. We can have a single government-run airline too. We can ban FedEx and UPS, and have a single-payer post office. We can have government-run telephones and TV. Thirty years ago every other country had all of these, and worthies said that markets couldn’t work for travel, package delivery, the “natural monopoly” of telephones and TV. Until we tried it. That the rest of the world spends less just shows how dysfunctional our current system is, not how a free market would work.