Yes, low voltage can cause a breaker or fuse to trip. An electric motor (such as a starter motor) needs a certain amount of power to operate and when the voltage is low the amps have to increase to compensate. If they increase enough, the breaker will trip.
There may be several things wired direct to the battery, bypassing the disconnect switch. Likely candidates would be propane and CO detectors, the disconnect switch itself (needs power to re-connect), slide out motors, power steps (usually on chassis battery), and any dealer or owner added accessories.
Some coaches wire the genset starter to the chassis battery and some to the house battery. You should also have an emergency (or auxiliary) start switch that temporarily cross connects the two battery banks to allow one to provide power to the other if needed. The connect lasts only while the switch is held down.
Former owner of 2004 American Tradition and several other RVs
Home is in the Ocala Nat'l Forest near Ocala, FL
Summers in Black Mountain, NC