"I think it is important not to have a second connection between the house batteries and the truck via the 7 way plug."
It would not matter IMO. The 7-pin would be at lower voltage than from the Renogy so the battery would just ignore it.
I expect when using the Renogy to have solar and Renogy in parallel at the same voltage so they add their amps (but the main reason to have the Renogy is for when not enough solar with overcast skies.)
On shore power I could have the adjustable voltage converter on too, so that's three chargers at once all set to the same voltage.
I will not have any problem running this thing when parked idling the 2003 Chev truck. I did that before when I was doing the inverter trick. It made no diff idling at higher revs either.
Truck voltage fell off with too much inverter load so you have to watch for that. The dash voltmeter quivers pointing up at 14v, then collapses down to the left when you add more load. You can keep doing it until you see that happen. That tells you what your loading limit is. I could run the 35 amp charger but not the 55 amper off the inverter so somewhere between that is my limit. (Also turn off the auto climate etc.)
I imagine it would be the same trying to run a higher amp Renogy than what your limit is in your truck.
The manual does say something about working the alternator too hard, so it is up to the individual to figure out what applies to his own truck.