Perhaps you're so old that your decades are running together but you're incorrect on your dates.
Prior to the 2002-2003 season, the NFHS changed rule 4-12-1 which added an exception an exception to the definition of control by a player when, during a jump ball, a jumper catches the ball prior to the ball touching the floor or a non-jumper.
Previous to this rule change, if a jumper caught the jump ball, the opponent got the ball for a throw-in and the arrow was set to their basket.
With the 2002 rule change, a violation no longer resulted in Team B losing the arrow for the next AP situation.
We discussed this situation on this forum, which is further proof that you're incorrect, since this forum did not exist in 1993.
To the OP's question, a case play was added regarding this situation which states the arrow is set after the throw-in ends.
4.12.1 SITUATION: During the jump ball to start the game, jumper A1 catches the ball prior to the ball touching the floor or a non-jumper. Ruling: A violation by A1. Team B is awarded a throw-in at the nearest spot due to the violation, which constitutes the first possession. As soon as the throw-in by Team B ends, the alternating-possession arrow shall be set towards Team A.
This, of course, is in direct conflict with 4-3-3a, even though that rule has not changed since 2002. The above case play only appeared in the 2002-2003 Case Book.
HERE endeth the lesson.