No. You don’t use the controller for the icecap. You can order pump only and the adapter and it connects directly to the wave engine. You can run 4 of them per eave engine.
The icecap controller connects to the hydros app and you can have more than 4 pumps /controllers attached via WiFi. The wave engine connects to the pumps and becomes the controller.
I got the controller and 2x 2k pumps today. I am very impressed with them. Gyre pumps always looked kind of fragile to me but these are very well built. They are easy to setup though the app. Not I need to figure out what flow pattern is best for my tank.