"Specialty physician-owned hospitals focused on cardiology and cardiac surgery were found to deliver higher-quality care than nonprofit hospitals, with lower rates of hospital readmission or mortality for high-risk surgery. Physician-owned specialty hospitals for orthopedic procedures, such as hip and knee replacements, offered lower costs and higher quality than nonprofit counterparts."
[0] https://www.beckersspine.com/lists/14578-56-physician-owned-...
[1] https://www.wsj.com/articles/end-obamacares-ban-on-physician...
How was it solved?
This doesn't address any of the main problem I brought up, which is that hospitals are capital intensive. "Writing a check" is easy to do when there isn't much capital tied up in the business in the first place, but what do you do when the hospital costs $100M to build and there are 100 doctors? I can't see how the numbers would work out using the methods you described.