I think they mean the plants have the water away from the roots for short periods with this system keeping them from rotting and allowing oxygen to get to them.
I have a house plant growing in my tank. I have an aquaclear 110 on my 125 with 2 sponges, one is full size, the other I had to cut off some to get it to fit. I also cut some of the back of the sponges off to allow room for the roots and have simply put them in the back of the filter and allow the plant to drape down over the side and front corner of the tank. It does help with the nitrates a bit but I have an oscar and 10 silver dollars in the tank which would take a lot of plants to keep nitrates really low. I use an FX5 for my main filtration as the 110 is for mechanical filtration only. The constant water movement by being in the filter keeps the roots from rotting and provides a constant supply of nitrates.