Juulie, I'm having trouble seeing any difference in the case book play and the play Mark described. It would appear to me that the plays are identical. The initial dribble ends in both plays. The ball is thrown off the backboard, the player catches it and starts a new dribble.
Mark, I don't think the word rebound makes their play a shot. If they had meant a try or shot, I don't think they would have wrote "throws the ball." I can't think of another word other than "rebound" to describe the ball coming off the backboard. Perhaps the NF's vocabulary is as limited as mine!
I believe they're telling us that this is a legal play.