The different names for the batteries sure is misleading folks..
You hear COACH-HOUSE-TRAILER name which are usually two batteries providing DC POWER for the living quarters of the RV.
Then there is the START-CHASSIS-MOTOR names which are used to identify the battery that starts the ENGINE of the motorhome...
The DEEP CYCLE or HYBRID DEEP CYCLE are usually what you find for the living quarters of the RV's which are designed to offer many cycle from 50% to 90% battery states.
A START BATTERY is most always labeled with CRANKING AMPS and offer a large DC CRANKING current for a short duration. These batteries do not stand up very well for multiple cycle of battery charge state.
In your description the COACH BATTERY and the CHASSIS BATTERY are two different animals in the RV WORLD... Since you listed TWO batteries makes me think you are referring to the BATTERIES for the living area of the RV not the motor start battery.
This is a neat article from google search describing the different types of batteries used in todays RV's...
DIFFERENT RV BATTERIESRoy Ken