It seems that 3D fliers have adopted the name "falling leaf" for something that is not the traditional falling leaf that originated during World War I as a flight training exercise. In this exercise, pilots intentionally stalled the aircraft and forced a series of incipient spins to the right and left. The aircraft descends as it rocks back and forth, much as a leaf does falling to the ground.
Any aircaraft capable of spinning should be able to perform a falling leaf as described, however it takes a lot of practice to get the timing right in order to stop the wing drop in each direction equally.

Quote from RAF Flying Training Manual Part 1 Flying Instruction AP.129 1931:

"Pull the aeroplane into its lowest possible stalling glide by holding the control column well back,then use full rudder and aileron together. Immediately the aeroplane banks over and tries to spin,use hard opposite rudder and aileron to check it and to force it over the other way. If done at low altitudes care should be taken not to stop the engine".