So you would call a double dribble?

Not me. If it hits any part of the backboard other than the back, I don't care what he does with it if he catches it.

I wouldn't allow him to dribble again after catching it.

I'm not sure that's in line with what they want us to call. This interp is giving a player a get-out-of-jail free card that's not intended.

Player dribbles, stops to shoot but gets stuck and doesn't shoot.. then hits the bottom of the basket on purpose with the ball and starts dribbling again? Are you really saying you'd have no violation for that?

This sounds like a last ditch shot attempt to me. Players would sooner throw the ball of an opponent and start to dribble again than think they could just do that off the bottom of the backboard.