Back up north, years ago, I had an older house stove with one pilot for each two burners....I suspect it meant more unused gas had to be emitted before the flame "jumped" from the pilot and caught. That was ok in a well-ventilated (read old, drafty) house, far less desirable in an egg.. .
Kevin, newer propane
cooktops are either lit with a match, or have a (manual) piezo spark lighter (which often doesn't work, so is also often lit with a match), but have no pilot. The newest ones have a safety that shuts off the gas if there is no flame, or not enough oxygen
to support a flame.
I wouldn't find a pilot lite in a cooktop acceptable in a (mostly) airtight egg for all the reasons you've already thought of, plus the safety factor of the open, unattended flame, and the heat and humidity gain of a pilot running non-stop if lit. If you can't find the turnoff for the pilot (and it may just be a very small screw beneath the pilot light cup itself), I'd just turn off or disconnect the gas completely, and plan on replacing the cooktop as my second mod, right after installing an LP detector near the floor (LP is heavier than air, and collects low to the floor.) and a CO detector.
( Normally, RV furnaces, refrigerators, and water heaters vent to the outside of the trailer. Only the cooktop uses indoor oxygen
, and emits co to the interior of your trailer. You indicated you don't have a furnace
, LP refrigerator
, or water heater, so, there is no reason, in my opinion, to run an old, risky cooktop connected to LP. You can run your grill directly off the tank.)
Wishing you safe travels....