You'll hear that in both directions, to the point where the CDC has a page for Americans seeking care abroad, typically due to exorbitant costs here. https://wwwnc.cdc.gov/travel/page/medical-tourism
> i'd rather a system where i can get better by paying more than a system where i'm at the mercy of some bureaucrat or waiting list.
There are very few countries in which this is the case; you can opt for private healthcare in Europe, Australia, etc. if you like. There's simply also a specific, reasonable level of care available to all. (The idea that the US lacks bureaucrats and waiting lists is, incidentally, funny to most folks who've tried to see a specialist on short order, or had insurance deny coverage for something.)