Unless you're running a tank full of SPS, you really don't need water that's completely stripped of all organic nutrients and nitrates.
A lot of our corals are photosynthetic. They have algae in their bodies that turns light into useful energy via photosynthesis. What do plants (algae) use as a source of food? Nitrates.
That's why we use macroalgae such as cheatomorpha and calurpa in our refugiums. The algae will absorb excess nitrates and phosphates from the water. Once a month, you cut it back and keep on reefing.
Those little algae in the body of your corals can use nitrates too. They absorb organic nutrients from the water column.
You still don't want a bunch of nitrates in your reef. I'm not saying that. Just that a small amount of dissolved organics in the water ain't bad. It's gonna happen anyway. We just skim it out and filter it out.
I've been doing all kinds of experiments with my skimmer lately. I used to run it 24/7 as efficient as I could get it. Daily maintenance to keep it cranking as hard as it could go. Then I tried just running the skimmer only at night, when the corals are retracted and "sleeping". Then I tried running it 24/7 but less efficient. I'd let the salt creep build up on the air intake and slow down the flow of microbubbles in the skimmer. Once a week, I'd clean it out. Didn't like that. Salt creep builds up a LOT in a week. I'd have to ream it out with a metal rod. If I blow a turkey baster of RO water through the intake tube every day, I don't have to take it off more than once every 6 weeks for a thorough cleaning. I've gone back to running the skimmer as efficient as I can get it 24/7. I feed HEAVY and I squirt all my corals with food daily. I empty my skimmer cup once or twice a week.
IMHO, a good skimmer is MUCH more important than any chemical filtration.
Are you running a biocube or some other type of "factory" aquarium? Or did you put this system together?
What are you wanting to do with the carbon? Do you have nitrate problems? Water clarity problems?