Jeff,
Your coach has a "Bird System", so anytime that either battery bank is charging, the "Big Boy" solenoid will be activated to tie both battery banks together. Therefore if your "Bird System" is operating properly, the inverter or engine alternator will always recharge both battery banks when they are recharging your batteries.
Moving the generator starting circuit to your chassis batteries, should not be a big problem, but since all coaches are not wired alike, I would have to trace the circuit to see what needs to be moved, and how much extra wire if any will be required. There is a good chance that there was a house battery terminal close to the generator, so Monaco used it to save the expense of a long cable run to access the chassis battery circuit.
Gerald