Yeah I think the spring is likely the tilt mechanism.
My THEFT light was flashing randomly way back when I had bought the truck, but after I had taken the column trim off. When I discovered the blue clip and that part loose there, holding it in, my truck would always start, pulling it away would make the THEFT light flash. I've always figured that was part of the key code reception circuit. If it's just to sense the key being there(dinger), then I don't know why my issue back then never came back. It was simple to gently push it in where it goes, and tape it in place as I tested the THEFT light issue. After I decided that was the problem, I removed the piece of tape, dabbed RTV on it, and taped it to hold it while it dried. It's been untouched since 2006.
For your truck, that wiring mess can be the source of many gremlins. I'd begin by finding out if the main ignition wires are hurt. Remove the tape, and if they are okay, take the added wires off and tape/cover the OEM wires well. Those are critical wires, high current and something you don't want any shorts to or from. Those added wires are hot along with the main circuits, those are potential fire hazards depending on where they go. That non stock module is probably not valuable, or would be big trouble to restore functions of it. I'd remove it completely, new remote start systems are not expensive, partly because of how fragile the wiring is, the low quality of parts in general they are made with.