I would pay more to go to a hospital where I know people are actually well rested. My last few hospital stays have been saturated with clearly agitated staff (doctors, nurses, reception) who were putting in minimal effort, and clearly didn't want to be there, and I can't blame them given the conditions that they're being forced to work under.
This is in the US, and I can't figure out why the Department of Labor hasn't cracked down on the medical industry yet. It's really horrific, especially because these are the people we're supposed to be relying on to keep us healthy and safe.
How hard is it to enforce 8 hour days 5 days a week? Every other industry has figured it out.