It seems reported healthcare quality is highly correlated with physicians per capita, in developed countries. Notable exceptions are Japan and Singapore, but these countries tend to have more efficient infrastructure and populations with predilections toward above average health. Socialized healthcare countries like the UK and Canada, known for their absurd wait times, have comparable physicians per capita to the US [0]. Most of the other European countries with touted healthcare systems also tend to have significantly more doctors than the US.
I wonder how this compares to countries with nationalized healthcare.