As always the issue with privatized social services is that the goal is to make money, not to provide a service so the incentives are fundamentally misaligned. For-profit care providers make money when the fail to provide care. When they fail to cover procedures. When they can substitute lower-quality or less effective goods and services. When they can sell you catastrophic cover with deductibles and co-pays too high…
In theory, free market healthcare should improve alignment.
Insurance companies pay procedures and make money when people are less sick. Hospitals make money when they perform procedures. Insurance companies are therefore incentivised to only pay procedures from competent hospitals, the ones that won’t result in more follow-up costs.
The problem is, of course, it’s not a free market - neither on the hospital side (prices are not public) nor on the insurance side (it’s much more affordable through employment)