I maintain I'm reading less into it than the other side.

Naw, you're adding something to the rule that isn't in it anywhere...and what you're adding is intent. We're at the "repeating the same thing over and over" stage though. Time to let 'er go.

Dribbling...and specifically an interrupted dribble... was exactly the context that I was referring to. Agree of course that intent is certainly meaningful in other areas of the rules.

I had this play the other night in an 8th grade game. Rebounder gets the ball and begins his dribble parallel to the endline. His momentum is going to carry him out of bounds, so he let's the ball continue to bounce in bounds. He gets a foot back in bounds and continues the dribble with one hand, did not catch the ball. Picked up his dribble on a bounce. I had no violation. He did not have control of the ball while OOB. Established his inbounds position with one foot and continued dribble, so no double dribble, either.

Separate question...if the player had caught the ball in the above situation and then continued his dribble, would you have double dribble? I would have called it.

Absolutely would have been. Great no-call.

Regardless of whether you consider it an interrupted dribble or not, it ends when A1 catches the ball. If A1 starts another dribble, it will be an illegal dribble.