In my case both banks are charged from solar, shore and gen. Not sure why Monaco used the house battery for the gen. I'm doubtful that the chassis batteries are any better for gen starting than the house batteries given the much lower amps need for the gen vs the engine. Battery bank size might also be a factor.
Perhaps trying to keep the chassis battery charged and avoiding the potential of a running down the chassis battery due to gen start issues. It can take a lot of juice to start the engine especially in cold weather and certainly engine starting is more critical than gen starting.