A quick update - I think I have an idea that may explain all of this.
I was reading the manual for my coach, and it mentions that if the battery disconnect is in the store position, and I then apply 120V power to the coach, the led on the battery disconnect switch will light up to tell me that the converter is now working and applying 12V. Mine doesn't do this - it only lights up when I switch it to use.
The 2nd part of this story is that I have an oddity with my generator (stay with me - this will all make sense). To get my generator to start, I have to cut the 12V power to the coach (store), turn on the dash generator switch, and then move the 12V switch to "use". At that point, the generator will start. Note that the generator will turn off if I turn off the dash switch.
So - reading the manual, I see a relay that basically controls these functions and I'm wondering if that relay is bad. I think I found it on Amazon (it's the INTELLITEC 0100055000 Battery Disconnect Relay). $60 for the part - I think I may buy it and take a chance this is causing these 2 problems.
Thoughts?