Hi jas,
The house batteries are used to start the generator.
If the house batteries are too weak to turn over the generator, I suggest to start up and then speed up the main engine to 1200-1500 rpm for about 5 minutes, then try starting the generator with the main engine running at idle.
I suggest doing that because I monitor my house and chassis battery voltage when the main engine is running. All batteries are always being fed by the alternator all the time. When I turn off the main engine, the charged-up battery voltages drop to around 12.7V.
Ron Dittmer