Sabunim88
First, I think your logic is correct....a little green algae indicates a healthy (or at least balanced) environment IME. Too clean is not good.
However, in a functional reef nitrogenous waste accumulation should not be an issue as the bio-filter is actually capable of reducing them to gaseous nitrogen which will leave the tank during aeration. By extension, this means if you see excessive accumulation (80 ppm qualifies) you, in a very basic way, do not have a functional reef. Either food inputs are well in excess of the size of the tank (possibly due to having too many inhabitants), or there's not enough flow and/or live rock. One pound per gallon of rock is almost always more than enough - most people end up with too much rock - so the problem is usually with the other factors. Flow or food.
As R.M. alluded above, phosphates may be your ultimate concern. Nitrates and phosphates make up almost all of the important parts of the food you add to the tank. Nitrates can be dealt with, as I said, but phosphates are much more persistent. A band-aid solution for nitrates (like bio-pellets) will do little to nothing for phosphates. Phosphates alone are enough to drive an algae or cyano problem.
The best answer is to find out why you are having such bad nutrient accumulation and solve that problem. I don't recommend putting a lot of money or effort into bandaids like GFO or bio-pellet reactors.
-Matt