[OHBBREF]

You specifically wanted to stick to the NFHS Rules for now:

Originally Posted by Old School

First, the AP grants you possession. It does not or should not guarantee you a successful throw-in. If there’s a violation of the throw-in, you don’t lose the ball anyway. You are now on to something else, like another spot throw-in. AP is now done.

Under NFHS there is NO TEAM CONTROL ON A THROW IN - so there is no possiession -therefore- by your own logic it does guarantee the COMPLETION of the throw in so that you have team control of the ball (posession).

Originally Posted by Old School

Now, in the event that we have another held ball on the throw-in. The AP will stay with the team currently inbounding, Team A. That makes since to me.

They get to keep the ball for the same reason that they get to keep the AP Arrow if the Defence commits a violation The AP throw in has not been completed!

Originally Posted by Old School

Just like in a jump ball. If you recover the ball from the jump you have possession. That possession is equivalent to me handing you the ball for the throw-in.

Wrong Wrong Wrong Wrong Wrong - That possession establishes Team Control
NO TEAM CONTROL ON A THROW IN

Originally Posted by Old School

What you do with it, is on you and we should not try to legislate the rules so that we help you get it inbounded successfully and reward you again with another AP from normal basketball play that carry's it's own punishment.

So If on a non AP throw in A1 throws the pass toward A3 but B3 kicks the ball and it hits A3 then goes out of bounds it should be Team B ball ?

You are not being rewarded with a new AP if the defence violates they are being punished under the rules of the violation - (By the way violations and fouls IMO_ are not normal basketball plays that is why they carry penalties.)