Using insurance, government or some other centralizing layer (e.g. the church) for routine activity would raise massive "you're pissing money away" red flags in literally any other context. We shoehorn so much economic activity (healthcare) though a middle man (insurers) and then act surprised that they take a fat cut. The solution isn't to government-ize the middle man. That will almost certainly just be a wash. It's to get rid of the middle man where possible.
There's no reason someone shouldn't be able to get a physical or a colonoscopy the same way cosmetic surgery and dental care are done. These are cookie cutter outpatient services. The deviation from instance to instance is small and predictable so insurance should not be needed on the consumer side.
Edit: Anyone wanna do me the courtesy of explaining why I'm so wrong?