There can be a lot of curious interactions. Too much nutrient can burn the plants. Ponds are notoriously rich in nitrogen and phosphate, but there is almost no potassium (the 'K' in N-P-K). When growing plants bare-root the roots can develop a coating of algae which steals all the nutrient before the vascular plant can get it.
Because you cannot measure ammonia or nitrate with a test kit does not mean that it is not being produced. It means it is being utilized as fast as it is being produced.
The important thing to remember is that plants do not "remove" nutrients from the system. They only tie up nutrients for a while and when a leaf dies all its captured nutrient is released back into the water. Nutrients are not actually removed from the system until the plants are thinned out and put on the compost heap. Do the math..... Compare the nitrogen content of wet-weight plant biomass which you remove from the bog to the nitrogen input via fish feed. You will find that a bog is a lot of work for not much benefit in terms of genuine nitrogen removal.
This is not to say that a bog filter isn't fun and (hopefully) beautiful. Also, there are likely benefits which we are overlooking. The uptake of excess trace minerals and heavy metals which enter the pond via feed could be one of them. Providing a buffer to stabilize the concentration of dissolved nutrients when the feed input is inconsistent could be another.
-s tevehopk