The average American thinks the U.S is the best country in the world. I say that as an American. To your point if people saw how the rest of the world lives and how happy many of those 7.88 Billion people are they would start being more vocal about our endless cycle of work until you are 85 to be able to pay your property taxes.
For pete's sake, it's not legal in many states to even cover slavery, the indian genocide, or japanese internment in a way that actually holds the US responsible
I have a chronic disease making over 500K dollars and I can tell you the US healthcare (from primary care to specialists) ability to help me stay on track or identify health issues has been null. If it wasn't because I second guess every recommendation, go and pay out of pocket tests (even though I gotta pay 4K+ in insurance premiums) I would have been dead by now. No, the US does not have the best healthcare not even close.
Scenario 1: You fall head first from a 10th floor. US healthcare has higher chance of saving your life.
Scenario 2: You are an average person that hopes to get preventive medical care. You will die in the U.S of the most basic medical condition.
It's likely that you'd have issues in pretty much any country in the world with your conditions. For example many european single-payer systems have tons of exceptions. Covering only basic tests/procedures/drugs (premium available out-of-pocket only), queues (jumping queue is possible by paying out-of-pocket) and incompetent doctors (longer queues at the good ones). And you pay a huge insurance for this, so there's not that much money left to pay out-of-pocket for most people.