I have no idea why the US Military have a different RT procedure to the rest of the world (including the FAA)
Crab, when with the USN the standard MAYDAY/PAN applied, nothing else.
NutLoose's page 231 spells it all out, for the controllers their reference says,
FAA Air Traffic Control Policy effective 15 August 2019
10−1−1. EMERGENCY DETERMINATIONS
a. An emergency can be either a Distress or an Urgency condition as defined in the “Pilot/Controller Glossary.”
b. A pilot who encounters a Distress condition should declare an emergency by beginning the initial communication with the word “Mayday,” preferably repeated three times. For an Urgency condition, the word “Pan-Pan” should be used in the same manner.
c. If the words “Mayday” or “Pan-Pan” are not used and you are in doubt that a situation constitutes an emergency or potential emergency, handle it as though it were an emergency.
d. Because of the infinite variety of possible emergency situations, specific procedures cannot be prescribed. However, when you believe an emergency exists or is imminent, select and pursue a course of action which appears to be most appropriate under the circumstances and which most nearly conforms to the instructions in this manual.
The bush lawyers can now argue about the meaning of the word "should", and the why para "c" might exist.
https://www.faa.gov/documentLibrary/...r/7110.65Y.pdf