Having spent the last eight years in and out of hospitals with family members I don’t think this would matter much in the bigger picture. There is the human factor that is much scarier. Most times they are completely ignored by staff anyhow.
You hit that squarely. My father and then my younger brother were both killed in a hospital through mistakes. Nobody in my family has ever been hit with a bullet; but, two in my immediate family have been killed by doctors.