Folks may talk past each other on this.
Some people may say that nurses and teachers ARE NOT well-paid because those workers deserve to be paid more than they are.
Some people may say that nurses and teachers ARE well-paid because they are generally paid more than median wage.
As for some dry facts, median wages:
Registered Nurse $93,600
Public School Teacher $64,000
Private School Teacher $57,600
All U.S. Occupations $49,500
https://www.bls.gov/ooh/occupation-finder.htm
Complexifiers for teaching: K12 cash comp in major population centers (CPS, SFUSD, Philly, MSP, &c) is sharply higher than that median, and, more importantly, teachers get a huge amount of non-cash comp. Can't say enough how valuable a defined-benefit pension is. All-in comp for a lot of rank-and-file K12 teachers in major metros is competitive with software development (in those regions; obviously excluding SFUSD).