Another noobie question.

Safer to drive with propane off…yes..but I drive with the fridge and propane on.

We run with the gas on. We try to use the first pump in a two pump isle. That way the trailer is out in the clear and not near gas fumes. If someone wants to use the second pump they can pull in ahead of us or back up to the pump. Open flame near gas fumes is dangerous.

That topic was hot 15 years ago when trucks had smaller alternators and inverters were expensive.
The issue is that when driving with propane flame is OK, sooner or later you will forget to turn it off, or on while fueling.
Leaving it on 12V makes it bulletproof, although 12V elements deliver less cooling that good propane burner.
The dispute is even hotter in motorhomes section.
There have been several reported accidents, where flat tire took the inner fender with it and live propane tubing above.
Add spark from the rim touching the road and motorhome was totaled due propane not shut off at the tank.
So having motorhome, driving with propane off from the tank was religious.
On TC the risk is lower, when factory charging wire is not adequate for running fridge on 12V, so I used propane flame.
Yes guilty of fueling with open flame.
Lately I parted my camper and used the parts for Sprinter conversion.
Having 3-way fridge and 2-way water heater I deleted propane all together and have all operating on electric power.
WH runs on inverter, who has ignition-activated switch and when 12V on fridge turns too low, I switch it to 120V from inverter as well.