I had the same thing happen on my previous Bounder MH. Your description of the problem is exactly what happened on mine.
It was a failure of the solenoid in the Battery Control Center. When connected to shore power, it should engage, charging all batteries. When no shore power, it should disconnect, and isolate the chassis battery.
The auxiliary switch sends power to that same solenoid to connect the chassis battery to the house batteries, allowing you to start the vehicle if the chassis battery is dead. However, if that solenoid is the reason the battery never charged, sending power to it via the aux switch does nothing!
It's a PITA to fix, but not expensive, nor complicated. Here's how I fixed mine:
http://2manytoyz.com/bcc.htmlFWIW, our 2015 Forest River MH uses the same solenoid setup. Probably very similar on many makes/models/years.
As someone mentioned, you "can" use a heavy jumper wire between the chassis and house batteries on the BCC. I made an emergency jumper with 2 gauge wire just in case.