i just picked up this 2006 F250 in dec. I went to pick up the toyhauler today and had the gen running will hooking everything up. after i was done, i shut down my gen and was getting to lock everything up for the drive home and noticed my trailer panel still showed "charging" so here's my question. Does my truck charge my trailer when it's hooked up and the truck is not running? no keys in ignition.