If the battery voltage is dropping so much that the vehicle is acting like it will stall at idle speeds with high DC loads on the system, I would suggest the batteries in said vehicles are weak.
My alternator can not always keep up with my DC loads, but it rarely drops under 12.8v providing when 20 amps that the maxed out alernator cannot at hot idle.
Any weird or suspected electrical issues, all the frame and engine grounds should be found, removed, filed shiny, and retightened, before any other parts are suspected. Include battery cables in this bad ground suspicion.
My alternator can not always keep up with my DC loads, but it rarely drops under 12.8v providing when 20 amps that the maxed out alernator cannot at hot idle.
Any weird or suspected electrical issues, all the frame and engine grounds should be found, removed, filed shiny, and retightened, before any other parts are suspected. Include battery cables in this bad ground suspicion.