Would prices or just supply fall if providers were simply expecting to be paid like a grocery store? I'd imagine it could work for everything else if all emergencies were covered. No questions asked. I saw that in Atlantic once. Where the government would cover all emergencies but routine stuff would be bought like anything else. However chronic things leave unconvinced of liberal solutions.
Presumably the patient would have to pay (either through private insurance or out of pocket) for the first treatment(s), until it was determined their condition is chronic. The awkward thing would be determining what counts as "chronic".
For that reason, I'd prefer something like Obamacare, except without the link between insurance and employment.