but socialized medicine has been tried in dozens of countries, and the price and efficiency outcomes you predicted have not happened in any of them
This is factually wrong. In countries where such a socialization has happened, a vast increase in medical spending happened as a result (depending on how much it was socialized). And there seems to be no end to the increasing prices of insurances and doctors.
You know, even if that were true (which I doubt) due to vast numbers of people now getting treatment they would have done without before, who is to say that the value rendered to society by that does not exceed the expenditure?
I don't think your idealized "market will fix everything" capitalist model takes account, among many other things, of the very true fact that people are frequently shortsighted and stupid.
This is factually wrong. In countries where such a socialization has happened, a vast increase in medical spending happened as a result (depending on how much it was socialized). And there seems to be no end to the increasing prices of insurances and doctors.