It all gets back to the Rules/Regulations/SOP/OpsManual that apply at the time and place. I always added....a thing called commonsense...and only did it when it was the best right answer.
A hundred miles from the nearest warm abode....OAT -30F...snow falling...wind blowing.....and you need to pump fuel by hand....no radio contact with anyone.....darn sure no cell phone coverage....and you are going to shut down that Jetbox or Hughes 500 and run the risk of the Engine starting again?
Errr.....I think not!