I'll disagree. A paper filter with grounds pulled out of a Chemex, Kalita, Hario V60, etc. is a lot easier to clean than an Aeropress, which I'll agree is an improvement over the mess that a French Press makes. A paper filter keeps the grounds contained in a way that makes composting simple, rather than washing half the grounds down the drain.
With the Aeropress I brew directly into the cup, then I move it over the garbage can and press the thing to throw away the compacted paper filter and coffee.
Then just rinse the Aeropress - which you could even skip if you're really lazy/green.