Very sad yes but
'where obviously time to complete is usually a short window.'
is wrong. Harvesting organs is not urgent and donors will wait. If this poor chap had been put under time restraints by some doctor, nurse or administrator with no aviation experience it just makes the loss than much more poiniant. And reinforces the need to separate medical go:no go decisions from aviation ones. My organisation has always operated a chinese wall where the pilot knows very little about the reason for the flight and the doctor has no say whatsoever over the pilot. Sure, it isnt always absolute, but we do avoid 90% of the pressure on our pilots and it engendours an understanding amongst medical crew that the pilot's decision is his and his alone. Oh, and they know if they even joke about it they are history.