Interesting method, faulty!
I think Ill try it.
But, I follow a different path when learning a new piece. I play the melody alone, and when I am comfortable with the notes, I add in the separate voices one by one. I try not to think of things in terms of hands together or separate. The fact that we have two hands is the limiting factor for all pianists. A listener is not aware (or at least SHOULD NOT be aware) of which part of the music is played with what hands, so why should you? Your hands will develop differently and approach music differently if you do concentrate on what the right hand does versus what the left hand does. If this happens, we have a problem- We stop making music and we start "playing" the piano..
donjuan