I still disagree with you here, and we didn't find that it wasn't dependant at all. They aren't directly related, but they are related indirectly because of the required dwell time. for example if you have a huge tank and a tiny skimmer your turn over in the skimmer needs to be so high to process all the water that dwell time will end so low the efficiency will go out the window, (or you could run the correct dwell time, but then a large amount of the water would never see the skimmer). The same is less likely but could happen in the reverse, a huge skimmer on tiny tank, at some point there would be a limit to how fast you can get the water out of the tank into the skimmer so the dwell time becomes too long, wasting efficiency.
If memory serves my correctly this whole thing didn't start because you stated the nutirant levels would stay the same. It started because you stated that adding a refuge would increase bioload and that this was a negative because of extra nutirants. I think you have managed to pretty soundly prove yourself wrong, because as you have proven (to me anyway) unless the skimmer hits full capicity it doesn't matter too much if you increase or decrease, volume, bioload, etc, the skimmer will continue to lower the water to the same nutirant level as dictated by how efficient it is.