Well, my lights quit working entirely while riding to work the other day. Fortunately I had an LED rechargeable light to use as a backup. I took a close look at the SP hub, and the connection is similar but not the same as the Shimano one. The wires do not fold over or lock in place inside the connection; they simply insert.

However, I got the lights working again. Apparently, the ends of the wires were just too twisted, dirty and corroded to make a good connection. I cut off the ends of the wires, stripped the insulation off the ends, and reinserted them in the connection. I also used a pencil eraser to buff the metal plates inside the connector. The lights front and rear were bright and shiny again with an easy spin of the front wheel.