Is there any data on how much of private jet usage is for urgent medical requirements, government contracted transport and transporting specialist workers quickly? Maybe this report is taking private to not include that usage, but I can't find it.
Specialist workers quickly is also going to be a smallish amount, though I'm sure there are some companies that have a corporate jet that can be used for it; most will just pay whatever exorbitant cost to get the tech on the next flight.
If you wanted to dig into it the FAA registration databases would probably be the place to start.