No, read the part underlined in that section. It covers dealing with verbal (i.e., in air) requests from scheduled air carriers.
"scheduled air carriers" doing what??
Carrying a patient? Like a stretcher? Yes, turbulence is probably nasty for the guy with the broken leg, being transported home from skiing holiday. It would probably be great to get priority for the level where no turbulence was reported.
But it doesn't mention scheduled air carriers having an in-flight medical emergency.
Anyway, it's still just a local FAA document. Irrelevant to the rest of the world, no matter how it is interpreted.