I should point out that I think your approach is absolutely defensible, that 0.5/100 is perfectly common enough to be worried about, and that I'm sure there are cases where being right next to a bunch of doctors has saved people's lives.

Which leads me to think that either there _is_ something wrong in the statistics or there must be cases where being in a hospital is actively bad for your health (like increased chance of catching something nasty, or passing doctor's deciding to run experiments on you).