Placing sensitive health data onto a Blockchain could prevent errors and ensure that nobody has tempered with it. The technology would also allow doctors to react properly in any situation, as they would be able to access complete medical history of a patient and take care of him in the best way possible.
My only concern with the Healthcare use case is that the information would be placed on a (public?) Blockchain and would exist there basically forever. At the moment, the encryption used to protect this data is secure. But, this won't always be the case with the advent of quantum computers. So, this implies that at some point, that sensitive health data will be readable.
Actually, you caught a small spelling mistake made by yours truly, the word tempered should have been spelled as tampered. You may be very right that health data on blockchain may not be a great combo but I also imagine there being encryption as well so only certain providers can access and they may only have limited access using a temporary code... There's no certainty how this will all play out.