They actually need to focus on hospital communications. It's scary what all you can pick up from paging systems in cleartext with a $20 USB SDR and a laptop. Patient names, rooms numbers, alert codes, everything.
I worked in a hospital, and patient names should never be paged. Room numbers and alert codes are not PHI, and generally they would say "Adult Male blah blah blah...". Unfortunately, in concrete mazes, paging is still the most reliable (as seen by how easy it is for others to see). And when you're as important as a doctor, you need reliability.