> You are extremely close to arriving at the solution, which is medicare for all. Cover everyone, then almost noone uses the insurance except when they need it
Most Medicare recipients do get supplementary private insurance though? It's called "Medigap."
Medicare pays for 80% of patients' costs, but even the remaining 20% is a lot. (You get a $100,000 procedure -- you're on the hook for $20,000.) That's why people get Medigap coverage.
By "the insurance" I was referring to Medicare. I'm a working, healthy person and rarely use healthcare outside of preventative care. You could raise my Medicare taxes by hundreds monthly and still be less than what I pay for private insurance.
In a Medicare-for-all scenario, the individual price of a given procedure doesn't need to be so high, because the reimbursement is guaranteed. Right now, the "list" price of the procedure has to be high to subsidize the uninsured and Medicaid who lose money.
I'm sure there are single payer health insurance countries in which people still purchase insurance, which should inspire debate about the universal insurance cost-sharing.
Regardless, the only viable solution in the US is a single payer insurance model.