Good clarifying responses and your final test seems to prove that the Aux start relay (battery isolation relay) is functioning correctly for starting the coach. So under non charging conditions that relay should remain open, which gets us back to how is the ant switch LED getting power when only the chassis battery is connected? The LED is a trivial load; not sure about the antenna pre-amp, but likely small as well.......it would be nice to have a schematic for the specific wiring. At least you can either turn off the ant switch when not in use, or disconnect both battery strings to kill it as required.
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