I think that just a disagreement over how to interpret "best" - for an individual who can afford it the "best" health care is likely to be in the US. However, I suspect Europeans think of it as "pretty good health care for everyone" rather than "the absolutely the most effective health care for some".

I'm in the UK so I rather like knowing that everyone has access to pretty decent healthcare which is free at the point of delivery. If I want fancier stuff or a slightly nicer room or more quickly than what the NHS can provide I can always go private. However, I've never done that and I don't know anyone who has for anything major.