One peculiarity of American Health Care is that every large hospital in the country is named after the rich person that donated to build or refurb it

Yet, heath care is insanely expensive — especially inside hospitals. So why would it require donors? 

One may conclude something has gone horribly wrong

The funds given to hospitals is, in this defined scenario, primarily meant for the expansion/maintenance of the hospital's capacity. Its association with healthcare costs is marginal unless the donor dictates it to be used for subsidizing costs. 

As for the absurd costs of healthcare, its from everyone involved. (1/2)

(cont.) Off the top of my head alone:

- Insurance agencies seeking to maximize premiums & minimize payouts
- The AMA artificially constricting the supply of licensed doctors
- Healthcare's extensive internal bureaucracy
- Pharma research being directed towards maximized profits
- Inelastic demand for healthcare