I’ve lived under several different healthcare systems around the world as an adult. Coming from my time America, nothing felt more like freedom to me than walking out of a hospital in London, with a new child, and having had no interaction with a billing desk.
On the other hand, aren’t comments like yours about the aesthetic experience of billing exactly the problem? It’s not like you didn’t pay for healthcare in Europe, you just had good vibes about the particular way that you paid. Employer sponsored health insurance plans are popular and also give good vibes.
Yes I agree, I pay for healthcare as part of my taxes, essentially the same amount as the guy sitting next to me. To be honest it doesn’t feel any different to paying taxes in the US.