I don't turn off the fridge propane because my fridge is on the other side of the trailer and about 30 feet back from the fuel filler on the Suburban.
The OP said he has a TC, so the fridge might be right over the fuel filler on his truck. If that were so, I might consider shutting off the propane temporarily.
That said, gasoline vapors are heavier than air (as someone already mentioned). Typical building codes for a garage say that any gas heater must be at least 18-24 inches off the ground to prevent igniting gas fumes that might come from a car. So a fridge a few feet higher than a filler neck probably would have a very low chance of igniting the gas fumes.
My opinion is that it's very unlikely to happen but the chance is not zero.
Steve