My thoughts, randomly from the comments.
The OP is looking for a battery tender, I tend to think this is minimal current draw. That said, I am not sure how the tender will react to what may be a large voltage drop across the length of the wiring. However, a wire designed to handle 30 Amps, with a battery tender probably putting out 1-5 amps max, should not be an issue I would think.
One comment was regarding a battery tender that plugs into a cigarette lighter. The cigarette lighter circuit on our trucks is protected by a 15 amp fuse, so that setup is likely to have lighter wire and a still works, as designed.
The OP is trying to avoid running an extension cord to the front of the truck. Some of the suggestions to setup a wire run to the back of the truck would help, but he is trying to avoid any of that I would assume.
I do not see anything that suggests that Fuse F24UA has anything in the circuit that would shut it down at any point. This of course means, from a trailering standpoint, if you leave your travel trailer plugged in with any current draw, you are going to kill your battery if the engine is not running.
- My memory when I setup and checked out my trailer brake controller on my 2015 Canyon was that there was always 12 volts on the 7 pin.
- My belief is my Silverado also always has power. I haven't checked that out, but it seemed like it was the case. I never leave my travel trailer plugged in with the engine not running for long periods. Also, I have used the truck power to operate the tongue jack without the battery switch on the trailer in the ON position.
- Based on what I have heard, this is not true for all trucks, Ford and Ram may kill this power.
Finally, I purchased one of these for my Silverado. My goal was to allow me to have a 12 volt output at the rear of the truck, so I could use a portable air compressor to fill up my travel trailer tires. So far, I have not needed it, so no clue how well it will work. It would seem it would make for a very clean installation of a cigarette lighter style battery tender into the 7 pin connector.
https://www.4wheelparts.com//p/tow-ready-7-way-to-cigarette-lighter-plug-adapter-118019/_/R-DJSK-118019