DavidP wrote:
Not exactly. The remote/trailer battery will receive the full voltage the tow vehicle provides but the tow vehicle in many applications and in all modern (factory install) cases uses a battery isolator to protect from discharge of heavy loads and rapid discharge of the remote/trailer. True they are installed in parallel but it is one sided. No matter the state of charge/discharge of the trailer battery the tow vehicle battery is isolated from loads/discharge originating from the remote/trailer battery
I've never seen one with any kind of isolator. At best you have a relay and a fuse to break the connection when the key is off, but many vehicles only have a fuse.