[Adam]

A dribble begins at the beginning, even if we don't know whether it's a dribble or a pass at first. Once a passer is the first to touch his pass, it's a dribble. Now, in Billy's play, it doesn't matter because it's going to be a violation whether you consider it a pass (backcourt) or a dribble (double dribble).

It is an interesting topic to consider whether you'd stick him for an illegal dribble if he did it in any other circumstance, but not in that thread. I think it's sufficiently different from the topic there that a new thread is in order.