Ah I see now you edited your post with more info.As per my illustration of efficiency a couple fo posts back I am waiting for answers on or not as people chose.
We need someone like BRS to do a test between the two to see if there is a significant difference between the two (or three if we include the new cheato reactors) methods.
I definitely see advantages to both but at this time wouldn't say there is a clear advantage to using one over the other until some publishes some clear data.
Until then I believe it just depends on your needs and personal preferences. It's already been proven that either will make a substantial dent in your nutrients if setup and run correctly.