I'm not sure what central banking has to do with profit incentives. Profit incentives exist even in, for example, bitcoin
It's a natural selection mechanism that will always happen. We broke it (aka we don't like it) because we moved from the consumer choosing who profits to central banks.
So, doctors that are not liked by the consumer don't disappear as fast as they should. They also don't land where they could do good because we leave everything to arbitrary judgements of well meaning bureaucrats instead of the choices of people that have to be served.
No system is perfect but we are missing something important in healthcare and I think this is the main culprit.