Charging line to F150 toed

I am towing with a Forest River FR3 gas MH. I have 13.4 volts at the MH plug and thru the coiled cable. I just bought this vehicle in April and had it set up for towing in May. Before this vehicle I was towing a Dodge Dakota truck so I am familiar with the process. I have not towed this Ford anywhere yet except for home from the install shop. We are leaving for a trip on Wednesday so I thought I would give the MH and F150 a good look-over and found this problem. No fuse is blown and there is no power to or thru the fuse. I have continuity from the cord connector plug to the ground wire on the battery but no continuity or voltage on the hot wire to the battery. It looks like the installer either smashed a wire or did not make a good connection at the plug which I cannot get to without removing alot of plastic trim. I will be taking it back to the installer but getting it fixed before Wednesday might be a issue.

So, the question is, if the battery drains down far enough that the battery save system kicks in, will that affect my ability to tow 4 wheels down? Does any component, such as the transfer case etc. need power to stay locked out. Thanks