Ah. No problem. Yes you're right. There's never an oversupply of doctors.

However, in a fully state controlled healthcare system, there's still a limit to what patients can request for free. Like, boob jobs or other cosmetical surgery. Unless it's for a health care reason, it's for the patients to pay for that operation, so the demand for those kind of doctors are limited to demand, while demand for doctors treating actual illnesses are limited by supply.