It doesn't really change your point, but just an FYI the studies that try to measure deaths caused by medical mistakes often can be dubious due to their definition of "mistake". For example, there are clear mistakes like mixing up patients and giving the wrong treatment to the wrong patient. But many mistakes are more questionable like if a patient is given the correct treatment but they are one of the few to experience a known but deadly side effect. The hospital is still the one to have directly caused the death, but it would be hard to argue they should have acted differently. The number of deaths can vary widely depending on how events like the latter example are categorized.