Without going into too much detail -- I use the PPS scheme, and I test regularly (LaMotte and Hanna).
I regularly use ChemiPure and GAC. This chemical filtration does effectively remove DOCs (phenols, etc) and I think the tank does better long-term with this chemical filtration than without it, especially as I do not do frequent large water changes. It will remove the hydroxylated aromatics (tannins and lignins and the like), so like Biollante says, if you're going for the blackwater chemistry, you don't want it.
I cannot see any effect of GAC or ChemiPure on the concentrations of any nutrients deliberately put into the tank. There is no immediate negative impact when I do a filter change. PPS and EI dosing regimes probably swamp any removal effects anyway. I can get fast reduction of iron chelate concentration with UV, but not with the chemical filtration; I've done that experiment. Potassium, phosphate, and nitrate are not apparently effected by CF. Chelated and complexed ions, or any organic molecule may be adsorbed, but not inorganics.
If you use EI, you are doing large regular water changes to reset the water column, so you might not gain any particular advantage from using CF, since DOCs cannot accumulate.