I err on the side of caution on these things. I'm hoping that I'll be able to travel with my 12v option (my fridge is a 3-way) without LP while connected to my TV and traveling - I'll know after this weekend whether there is too much draw on 12v or not.
I know the risks are small but in my opinion and based on a variety of other factors that incline me to avoid putting myself between a rock and legal liability, I'll be keeping the LP tanks off when traveling.
Here's my take on the whole thing (simply because in America, litigation seems to be the national past time). The chances of my fridge igniting fumes and causing a fire (or worse an explosion) while at the filling station are slim. That given, there is a possibility. If said possibility becomes reality (sun, moon, stars are all aligned correctly - and my luck running about where it seems to most of the time) then there are liability issues that could leave the RV owner liable for damages, injuries, loss of life, etc..
The refer manual says leave LP off when refueling (two rather large warnings in my manual). I believe that is covered in the RV owners manual for my unit as well but I don't have it handy (generic anyway). That combined with posted warnings and state and federal guidelines, stations rules/policies, around fuel pumps place the liability (in my opinion) on the shoulders of the RV operator.
Disclaimer: I am not an attorney (haven't even played one on TV, and did NOT stay at a Holiday Inn Express last night). I have however seen too many news stories where people acting responsibly have still been held liable for accidents due to simple oversights that were by no means intentional, done in malice or otherwise criminal in my opinion. This can apply in non-criminal ways as well, since no criminal prosecution/charges does not relieve you of potential civil litigation.
2011 FR Rockwood Premiere A126 Hard Side
TV=2011 Jeep Wrangler Sahara 2 Dr
Reese 66065 WDH, Curt WDH Shank #17120
Prodigy P2 Brake Controller, Mopar 7-pin Harness
B&M Transmission Cooler (#70268)