The way things were resolving before our protestation would have left us where we should have been, albeit for the wrong reasons. After the foul on A1, the arrow was switched back to A by the table and B was inbounding the ball off the foul. Remember that the table did not understand the rules on changing the arrow. Initial result (prior to our protest) was ball to B, foul on A1 and arrow to A, which is what really should have happened
I think it was better that we taught the scorer and timer the rules on the arrow, but the end result that favored us was incorrect.
So we got lucky in getting the ball back and foul cancelled, and learned one more lesson about being aware of everything happening on and around the court. Thanks for the input.