If you do this, you will destroy half of the top 20 hospital systems in the US, as they are run by Universities. Now maybe separating medical systems from universities is a good idea, but it's not simple by any means.
Government data on university expenditures show that at a broad level the increases in instructional and student-related expenditures are modest. Much of the increase is in the aforementioned medical systems, and in the Graduate and Faculty research enterprises:
I wouldn't think so. Hospitals do some teaching and research, but they also administer huge amounts of prescription drugs, physician salaries (both teaching and non-teaching), durable medical equipment, supplies, marketing, home health services, etc.
Government data on university expenditures show that at a broad level the increases in instructional and student-related expenditures are modest. Much of the increase is in the aforementioned medical systems, and in the Graduate and Faculty research enterprises:
https://nces.ed.gov/programs/digest/d22/tables/dt22_334.10.a...