With some small differences, this type of tank has been around for some time. I played with them a little while ago. At the time, there was a term for them. I believe it was "terratope" or some similar term. The idea for the tank was to submerge the roots of land plants to purify the tank water, without having to change it. Similar to what you're doing, I believe.
There were a number of plants used. Like Aglaonema, Pothos, Philodendron, Nephthytis and Impatiens. The tank works fine. It's open, so the plant leaves take in room light and the roots, minus the potting mixture, remove all the nitrogen from the fish and plant wastes. The plants just needed to be thinned sometimes and you needed to top off the water lost to evaporation.
It's an interesting and fun tank. Attached is a pic of this type of tank with the addition of some aquatic plants.