I tested mine and it works. I didn't bother with the sync button, and I soldered one of the wires between two contacts to save space and a wire. Here is a diagram that took me 5,000 hours in MS paint to illustrate what I did. The orange and red wires were the same color, but I'm a dumb dumb and made them a different color in MS Paint.
Again, I've tested it, and it works.
Again, I've tested it, and it works.