Join Date: Sep 2016
Location: Not in Boise but nearby.
The connector you pictured is C201 on the steering column. It is a main connection between everything in the steering column and the rest of the truck. It includes the wiring for the horn, turn signals, air bag, ignition switch and everything else on the column.
There is a device that looks like a large tape measure in the column. It is actually a coiled up strip of plastic with multiple wiring traces in it like a printed circuit. It is called the clock spring. As you turn the wheel the clock spring winds up and unwinds but keeps constant contact.
All of this flexing eventually leads to it breaking. It carries the power for the horn button, any steering wheel switches and most importantly the power for the air bag. If that is going bad you will lose various parts from the steering wheel. I suspect it is on the way out and the first thing to go was the horn so the PO installed a separate switch. If I'm right you will soon lose the air bag and steering wheel switches.
I didn't mention C201 before because it should not have any potential for intermittent contact like you are seeing. What it would do if it was bad is just not make any connection at all for the tow/haul switch and it would stop working.