No, you have to repoint all of the pointers to the old soundtable to the new one. Just replace them with a hex-editor, but I'm sure you're experienced enough to figure that out.
Also, yes, Team Fail is correct, you are missing a major thing in this tutorial, which is replacing the old pointers with the new one. That way it tells the game to read the new soundtable. If you compile a song in the new soundtable with Sappy, it will just be silent in game until you do this.