There's absolutely no way you can have a medical system without insurance (either govt underwritten or private corporation underwritten) beyond something trivial like a village herbalist.
The only question is who does the underwriting and even more importantly how are the premiums collected (taxes, that is proportional to income, or flat fees).
Well, of course, because in the US, you can get treatment. Here in Canada, you're either left on a stretcher in an over-crowded hospital, or being told "come back in 6 month to get your CT scan... [if you're still alive]". The current pandemic has even gotten worse, a close family member never got the luxury to get an appointment for a cancer appointment even though he was showing symptoms.
We can talk about France if you want, where a family member was told to "suck it up" after an injury when he was able to go to a private hospital (he's got the money to consult specialists) and get his shoulder fixed there.
France is run by neoliberals, and ended up closer to the US than Canada. A better example of a properly-functioning healthcare system is Taiwan, or the Netherlands.
There's absolutely no way you can have a medical system without insurance (either govt underwritten or private corporation underwritten) beyond something trivial like a village herbalist.
The only question is who does the underwriting and even more importantly how are the premiums collected (taxes, that is proportional to income, or flat fees).