Important: Both shells, or just one shell? And, does all of the interior ceiling lighting work correctly? If those LED lights DO work while plugged in, then it is an issue of insufficient voltage into the LEDs from the batteries. (You might think that the battery fuse looks fine, but the original TM inline battery fuses never failed by blowing the fuse -- they always failed by developing rust on the darned spring).
Are these only exterior lights, or interior as well?
In any case, you need to check the voltage on the leads which go into those fixtures, using a digital volt meter.
If voltage is ZERO, you have one kind of problem. If voltage is LOW but well above zero, then you have a different (and maybe harder) problem.
- - Zero Voltage - -
Somewhere, a wire is completely broken off, OR a switch hasn't been turned on. If the bathroom door switch is GOOD, and not merely pressed down, then the propane detector will be activated with a green light. If the overhead fan works, then the bathroom switch is OK *and* the front shell supply wire (connected behind the fridge) is also OK.
But if the propane detector came on while leaving the overhead fan dead, then most likely problem occurs behind the fridge. TM used a low-quality connector for the 12V wire into the roof, connecting just before the "bundle" which is made to go up the shell. This may have separated. Re-do that failed that butt-splice connector, with a better connector (such as a WAGO).
- - If well above zero, but less than 11 Volts - -
If less than 11 volts, then old style incandescent lights would definitely continue to work (with reduced light output). But the tiny "controller" chips which run the LEDs within LED fixtures might not be willing to "turn on" at all.
While plugged in, the "load center" provides more than 13 volts at all times. If voltage at the LED fixture is ZERO, then either a switch is off (bathroom door switch, or TM interior "courtesy light controller" switch by the front door, or the switch on the fixture itself) .... or a wire is actually broken/disconnected.
But, for the case of low voltage, you have many suspects. If failure occurs only with battery, first replace that battery fuse (AND it's holder) with a GOOD fuse, maybe one of these:
https://smile.amazon.com/10-AWG-Inli...dp/B08K3NLV27/. Then check lamp lead voltage again.
Also check that the battery connection into the WFCO power center "DC circuit board" is tight (they can loosen over time). If you still have low voltage, in comparison to voltage at the actual battery terminals, the behind-the-fridge inline connectors are again a suspect, to be tightened or upgraded.
I can make a bunch of other and likely irrelevant guesses, but you haven't given us much to go from. To any more repair instructions, I will need to know:
- From Battery only, or also failing while plugged in?
- Both shells, or just one?
- Does the fan run at all?
- Interior lights, Exterior lights, or both locations?
- Did you look only at the fuse, or have you ALREADY replaced the bad TM-original battery fuse holder with a good one?
Thanks for any answers you can provide, in advance.