No, your description is inaccurate. The control system function is to control rpm, of the propeller and engine. The CSU senses only rpm, it has no feedback from propeller pitch.
Of course, the propeller pitch is changed by the CSU response to underspeed or overspeed, but the function of the CSU is as an rpm controller.
With the Merlin engines described, the pilot does not have to balance anything, with the early speed control lever, he simply selects the desired rpm and opens the throttle to the desired Boost. With the later Linked control, with the Overide lever selected to AUTOMATIC the Throttle position controls both rpm and Boost in the fixed relationship shown in the table on p.13.
Cheers
Eng