I am a little confused on why you're so interested in making such a control scenario for the tank. Since none of us have the lab facilities really required to do this properly (daily lab testing of water) we just have to do the best we can with what we have. I would think as long as you are running multiple test scrubbers off the same tank, that will give you the exact same data as a control tank, ie, which lighting gives the best growth of algae. It shouldn't matter what the tank is like (sterile/ferts or full on reef) because every screen will get the same water. Even if the water isn't the most ideal in nutrients for the algae, it will still show us which lighting gives the best growth regardless of tank conditions.
Then again, maybe I am misunderstanding the goal here.