I’m in Canada. If there were enough doctors that doctor unemployment was 2%+, like a normal job, doctors here would get paid less. Also doctors might not burn themselves out working crazy hours.
Instead, we have a dire shortage of doctors and people in government employed full time trying to recruit the limited supply.
Doctors can’t move to the next hospital for more pay, but they can move to the next province, or to the US.
I do know that limiting the number of doctors is one of many mechanisms to limit healthcare spending. A doctor can only see so many patients in one day.