OK, doctors don't deserve collective bargaining rights?

I'm not defending their profession.

I'm drawing a parallel in rights.

And limiting entry is great for wages.

Flooding your profession with people lowers wages.

A drivers union would do the same if they could: create and raise standards.

Correct. "Collective bargaining" against society is called running a cartel. Having your cartel lobby the government to set the law to benefit it is called rent-seeking. They've caused massive damage to society, and limiting positions by quota is different from setting standards.

I can't even draw an "imagine if we limited... " comparison because limiting access to doctors is already close to the worst case, obviously destructive thing to do. Maybe food? If instead of subsidizing farming to ensure we always overgrow and don't have famines, we capped farming, ensuring famines?

What is it called when they move past collective bargaining into being entrenched in law?

What’s the opposite of flooding?

…because that’s what their mandate has been since the 90s.