It would be hard for anyone to know for sure - unless they have the exact same Coach with that wire from the factory. Hopefully someone does and will respond shortly.
I removed my batteries for cleaning (and to repair the tray) and I had four "white wires", two to the neg terminal and two to the positive terminal. I marked them and add some red heat shrink tape to the positive ones so no one could mix them up in the future.
But who the heck (at the factory) would wire a Coach using all the same colors wires when half are negative (grounds) and the others are power?!