"Propane industry groups recommend turning it off when fueling" That's because of the large number of lives lost every year due to RV's exploding at the pumps. Uh, excuse me while I get my tongue out of my cheek.
There are a number of RV owners who will not travel with the propane on, check the tire pressure every single pee stop, and loosen and retorque lug nuts before every trip. It is what floats their boat. In that it doesn't affect me or mine I really couldn't care less. However I can't in good conscience recommend to an inexperienced RV'er that the propane should be turned off during refueling. Better that they should spend that time checking the air pressure in the tires....