[rainmaker]

Look, OS. Say A1 releases the ball onto the court, and B1 slaps at the ball with his hand, and effectively stops the ball in the air, so that it drops to the ground and rolls slowly oob. That touch is legal, and now the APTI is finished, and the arrow switches, while the ball is rolling. In fact, the clock starts and should run during the rolling of the ball. because the throw-in was completed, the ball is live, and play is going forward.

B1 has caused the ball to go oob, and that is a violation yes, but only one violation. The penalty for that violation is that A gets the ball oob again. The arrow is not affected by the oob, because the APTI ended as soon as the ball was touched with the hand, and while the ball is rolling there isn't a violation to consider.

This is also true if B1 whacks the ball hard, and it flies oob, although it doesn't take very long. The touch was legal, the throw-in completed, the arrow switched, and THEN the violation is committed. See? If someone else jumps in and catches the ball that B1 batted, so that it stays in play, there is no violation. The violation isn't in touching the ball, but in the oob.

Now suppose that A1 releases the ball onto the court, and B1 kicks the ball. At the moment the foot touches, the violation is committed, and the ball is dead. Where the ball goes after that is irrelevant. Now the penalty for the kick is that A gets the ball for a throw-in. Even if someone jumps in and catches the ball that B1 kicked it doesn't matter. The violation was committed at the moment of contact, and the throw in wasn't completed.

The not-switching-the-arrow thing is not the penalty for the kick. The new throw in is. The no-switching-the-arrow thing is simply because the throw-in was never completed. There's still only one penalty for the kick and that's A getting the ball for a throw-in.

The penalty for B causing the ball to go oob in the first case, and for B kicking the ball in the second case is the same -- A gets the ball for a throw-in. No one "takes the arrow away" from B. They simply don't get it if they kick the ball, because the APTI wasn't completed. It's the same thing that would happen if B committed a foul during A's APTI. The penalty is for the foul, and the arrow isn't switched. A keeps the arrow, but not because B fouled. It's because the APTI wasn't completed. Why is that so hard to understand?