You're over thinking it Mike.
Here's the problem with closed systems. You have to feed most things you have in there. The problem with feeding, is introducing phosphorus compounds.
Obviously, nitrogenous compounds are cycled. You couldn't do it if they weren't.
Phosphorus compounds - and all the different forms they take, think shape shifters - just tend to hang around and build up.
In the process of removing P, you will remove things associated with it, charged like it, etc etc
But in some cases, you have to get the P out to keep the system healthy.
So you are fighting a battle, put stuff in, but get it out and some of the things get out a lot easier than P.