I have the same problem. I only have the Rachio 3 12 zone controller. It turns on the pump as soon as I plug in the Rachio transformer. It worked with my Orbit controller, but the Rachio is supplying power to the pump relay all of the time, even when there are no zones active.
I unplugged it over night hoping that it might reset the controller, and hopefully it wouldn’t energize the pump without a zone active, but nothing changed.
I think there is something wrong with the controller.