Well there's only two other countries with more than 330 million people so that's a bit of a poor argument to make, and it assumes that the well-functioning systems in (most, if not all) other western countries won't scale - I'm not entirely sure where such an assumption comes from.
Probably a refusal to imagine it as a possibility in the first place, I suppose.
Well "flawless" is obviously a disingenuous expectation on your part.
I would direct you to the United States which has a pretty amazing public healthcare system called Medicare that has an 80+% approval rating among those lucky enough to be on it.