BigCat wroteBecause i view the case play expansively.
The case play only states that, after ending a dribble, it's legal to throw the ball against one's own backboard, and it's also legal to catch it. It doesn't say that it's legal to start a new dribble. There is no exception listed for this maneuver in the Illegal Dribble rule.
If a coach politely says to me that this is an illegal dribble, I have no rulebook basis, nor do I have a specific casebook basis, to support my no call.