The conversations seems to be confounding "what is theoretically possible" with "what is practical and reliable".
Theoretically, the trailer 12 volt system is a plain old simple power bus. Apply voltage cross positive and negative and all loads anywhere can use it.
But speaking practically, the 4 pin light circuit has a tiny fuse on the tow vehicle and only tiny power available. Hardly better than a couple AA batteries. Why bother? Probably get better results sticking a power connector into the cigarette lighter socket and running those wires back. At least there you get a 20 amp fuse.
The 7 pin 10 amp supply is better, probably useful for topping up a battery while driving or running some LED lights while parked. But still pretty weak. Just enough power to drain the tow vehicle battery dead if we aren't careful trying to use it for lights when the tow vehicle is turned off.
On our rigs we are installing the high amp separate pair you describe. A pair of big 4 AWG wires from the tow vehicle battery out to the trailer. At the tow vehicle battery connections we have a 100 amp solenoid tied into the tow vehicle accessory circuit so the high power line goes dead when the vehicle is turned off. The 4 AWG wires should be able to carry 70 amps back to the trailer battery (15 feet) with only 0.52 volts drop. Our goal is to run our small 800 watt window air conditioner in the boondocks with the tow vehicle running as our generator if we really can't sleep. Separate connector plug for the power circuit using Anderson power connectors like this
