Your modern coach power system is designed to manage lead acid batteries without damaging them. It will most likely keep both coach and chassis batteries at an optimum 13.2 volts.
Whatever method you chose:
Lead acid batteries must be stored fully charged for long service life. Fully charge 14 to 18 hours before storage.
Monitor battery terminal voltage periodically until you know how long your system will last. Fully recharge before battery terminal voltage drops below 12.4 volts. Loss of shore power may fully discharge the batteries.
1)
Connected to shore power
Turn off all 12 volt appliances. Leave the converter/charger function "on".
Turn off the inverter part of the inverter/converter/charger. This will reduce possibility of draining batteries if shore power is lost.
Battery terminal voltage should be less than 13.8 volts after batteries are fully charged.
13.2 volt is optimum for connected long term storage.
Fully recharge before voltage drops below 12.4 volts.
More than 13.8 volts is too high and may "boil" dry. AGM batteries typically vent and dry out as well.
Monitor battery terminal voltage until you know what your system will do.
2)
Disconnected
You do not need to remove batteries in any case.
Fully charge 14 to 18 hours. Disconnect battery cable or turn battery disconnect next to the batteries "off". (Disconnect near door will not be good enough.)
You must also charge and disconnect chassis batteries. AGM batteries will be good for up to 12 months. Flooded cell batteries will be good for up to 6 months.
Monitor battery terminal voltage until you know what your system will do. Fully recharge before battery terminal voltage drops below 12.4 volts.
Battery University
https://batteryuniversity.com/articles
How does the Lead Acid Battery Work?
https://batteryuniversity.com/articl...d-battery-work
How do battery chargers work
https://batteryuniversity.com/articl...-chargers-work
How to Charge and When to Charge?
https://batteryuniversity.com/articl...when-to-charge
I wish you good luck and happy trials ahead!