You forgot the Party connection that they have in e.g. China, where crowded waiting rooms are bypassed by a constant stream of "Party people" going straight to the back of the hospital to see the doctor right away, while hundreds of other people wait and wait and wait all day.
Healthcare will be, was always intended to be, a political perk for Party people.
"Health care is the keystone of the arch of Soviet power." -- V.I. Lenin
except, of course, for the Anointed.
It is right there in the quote.