I am having this exact same problem, - - all of my 12v widgets work on AC but not DC. My generator also will not start. There is also an ignition AUX switch up on the dash, but of course it would not start the engine. I wasn't surprised, but had to check. My coach batteries for my Winnebago Class C are located under the step at the door, as is the Intellitec relay that disconnects them. There is a switch on the wall that allows me to shut them off or turn them on. When I flip the switch to "off" I hear the relay click. It is a very distinctive sound. When I flip the wall switch to "on" - - nothing. I changed the two 5 amp fuses on top of the relay first. I read that the batteries must have at least 10.5v for the relay to operate, so I checked, and I had wildly fluctuating voltage down to zero under heavy 12v load. (I was running 12v fans and I am guessing the converter couldn't keep up with the demand I was placing on the batteries.) I removed all the 12v loads yesterday, kept light usage to a bare minimum to the best of my ability to try to allow the batteries to charge and the batteries are now at about 9.56v, so I hope that means they are at least trickle charging.
I cannot perform the "in use" test on the relay, because it seems to be stuck in the "off" position. Right now I am playing a waiting game to try to allow the batteries to get some more charge on them. If I am lucky that will solve the whole problem!
But acramer, I cannot seem to view your pictures, which might be helpful to me in solving this problem. Otherwise, thanks for a helpful thread!