When do we not reverse the AP arrow?

[Nevadaref]

Welcome to the forum. As you have experienced on your first day, there is much to learn here. There are several excellent officials who have numerous years of officiating. That tenure is of great help in situations such as this one in which the rule has developed and changed over time. Unfortunately, that process also leads to some confusion as the members of the NFHS Rules Committee, the NFHS Board of Directors, and the Rules Book Editor all change over the years. When new people assume these positions they don't share all of the thoughts of the previous people. You can find several examples of this.
Sadly, this leads to conflicting interpretations, play rulings, and even awkward wording in the text of the actual rules as they are changed or edited.

What other posters have told you in this thread is 100% correct. If Team A has an AP throw-in and the initial touch is kicking violation by a member of Team B, the result will be that Team A is awarded a new non-AP throw-in for the kicking violation and keeps the arrow for the next held ball since their attempt at executing an AP throw-in was not completed due to the illegal touch (kick).
This was all published extensively just two years ago as a rule change.
Unfortunately, someone with the NFHS then authored a contradictory interp for Team B violating during the AP throw-in by breaking the boundary plane. This person wrote that the subsequent throw-in remains an AP throw-in and the arrow changes upon its completion. Sad.
Anyway that's how this stuff evolves. It isn't perfect. You learn to sift through the errors over time.