When I installed my AVIC a few months ago I ran into the same dilemma. After finding the wire in the engine compartment, I could see no easy way to get it back to the cabin. Plus, I was not comfortable tapping into the factory harness.
Solution: I did not connect this wire and it has made no noticeable difference. It's only function seems to be making the system more accurate, particularly where it has lost the GPS signal, like in a tunnel.