[abecedarius]

Yes, that was my general thought -- (added:) but that still would have two octaves different, where a note between staff lines in one octave is on a staff line in the other.

Also when you go above or below the two clefs and draw ledger lines for those notes, you're losing the background pattern once again -- you start having to count notes. With this proposed notation you'd draw another background octave (or enough of it for the notes used).