So I think I figured it out using the pre-disassembly picture below. The looped wire above the alternator is the wire in question. I labeled it "starter" instead of "alternator", probably because I was looking at at the starter. Interestingly, it would likely work as wired because it is going to the same electrical node (+12V main power bus). I am going to change it because I don't know how sensitive that connection is to location, I don't want to introduce an unknown variable into the electronics.
