It turns out that IAABO and the NFHS are saying the same thing....the immediate throw-in following the kick ball is for the violation, not another alternating-possession throw-in.
This is the clarificatin from Peter Webb, who is IAABO's top rules guy, who responded to my email about this disparity. Peter said the intent of the change is to have the same result for the kicking violation as if there were a foul on an alternating possesison throw-in.
This is from Peter's email:
The violation for "kicking" causes the very next/subsequent throw-in to be because of the kicking violation, it is a new throw-in situation. Team A would not lose the APTI. The arrow would not change as the AP throw-in has not ended. The next/subsequent jump ball/held ball ruling would be a APTI for Team A.
Next time I will wait until I hear directly from Peter before posting to this forum.