It all makes sense but I am not sure if it has been submitted in response to some recent egregious misuse.
Also, my googling found this: https://www.thedrum.com/news/2017/01/17/indie-games-develope...
I used to have a toy ambulance that had the red cross logo on it. They probably should post a policy on what they consider to be acceptable play, and what is not. This would also impact a lot of movies and cartoons.
They do, medical branches of the military are allowed to use the symbols.
Which would actually be an interesting game idea...