(I think the actual answer to the question in the OP is, at least in part, to license more doctors. Then the cartel doesn't have as much pricing power and medical care is less of a luxury good. The rich person should really hire a lobbyist.)
https://www.beckersasc.com/asc-news/9-cms-pay-cut-for-physic...
The 80s/90s/00s were probably the golden years for them, but they got in the political spotlight, and combined with the decreasing proportion of young to old people, the government is going to push down cuts to whoever lacks political power to push back. Such as smaller businesses like independent doctor offices and pharmacies.
The government has already increased supply by letting Nurse Practitioners and Physician Assistants do stuff that doctors used to do, and I suspect a lot more price discrimination is on the way. Expect the average quality of care to fall (may not be a bad thing if overqualified people were treating pink eye), and paying more will result in being seen by someone more qualified.
If I pay doctors $400,000 a year to work 80 hours a week and then double the number of doctors and pay them $200,000 a year to work 40 hours per week, the quality of care would almost certainly improve but costs would be constant. And actually, do we pay doctors a premium for those overtime hours where they're actually probably less effective? If so, our costs would go down as quality of care improves.
The AMA does not want more competition and lower income per doctor.
Also, increasing class sizes is not without its down sides. Pharmacy schools cashed in and blew up the number of pharmacists in the last 10 years, and now the pharmacists’ employers have so much power in the negotiations due to so much supply of labor, that they can make pharmacists accept metrics which pharmacists know are excessive and unsafe since no one can possibly do the job properly in the time they are expected to check the medications and counsel people in.
A pharmacist family member says the law is to counsel patients, but the reality is anyone who did that would be fired and replaced so, in reality, people are not getting the counseling they deserve when they pick up the medications, and pharmacists are not able to properly double check the doctors.