Nope, it's all separate. The only common point between the two is that the signal from both switches has to go through the BCM, but since the wiper itself works I'd say it's not likely you have a loose connection.
There is another common point - the ground. G103 ground, left-front of the engine bay. All 3 pump motors ground here, it may be possible the ground isn't very good either at the connection point or in the splice pack they all come into. I'd start there.