And some things might not work "properly" in some EU nations, but I don't think health care is among those things. This works equally well from my experience, no matter whether Germany, Italy, Spain etc.
how do you quantify "work well" though, as like you said opinions differ...in each of those countries healthcare is very different from what we expect here in the states.
Single payer will mean major changes for many, no more telling the doctor you want a specific test, no more demanding that you get the branded drug because it is more effective for your condition, it will be more of a you get what you get situation.
I rarely go to the doctor so no big loss for me, but there are plenty of folks who I know that are very much opposed to any change which might mean sacrifice on their part when it comes to options or care.