That is why you need to make the distinction about what your studying. If you are studying target feeding, then the amount of nutrients in the water will not mattter. Both sets of zoanathids would need to have the exact same amount of nutrients in the water. That way the only difference is if they are target fed or not. This is the test in option number two. You would not need a filter to remove all the compounds, only to the extent that it could prevent the food that is being target fed from reaching the control animal before it breaks down. I was thinking of something like filter floss or a sheet of the material that filter socks are made of.
If not, all you are testing is whether feeding generally (i.e tank feeding) is better than not feeding at all and requiring them to get all of their nutrients from photosythesis. This is test option number one. If this is the case, then you will have to have two seperate systems.
There is opition number three. Target feeding vs. Light only. You can't test target feeding against light only without removing them from the system to be fed. In that case you would need one system, and a fully seprate holding tank for feeding purposes only. You could not feed them directly in the same tank where they will be housed, as the food will break down and add nutrient level to the water. If that happens you are really testing one of the other test options, depending on how the system is set up.