When do we not reverse the AP arrow?

[Shooter14]

Are you guys citing NFHS rules? If so I'm confused about this one still. My partner and I got into a discussion about this one after our game last night.

I don't have my book on me right now but in the casebook it said on a foul during an alternating possession throw in, that the arrow would not be reversed and would stay with A. It mentioned that case play specifically. But it said on a kick to "postpone" the arrow. At the end of the "COMMENT" in the casebook, it said the arrow will change when a throw in ends.

Now if you go to the rule book, it says a throw in ends when the ball is "touched" OR "legally touched" in bounds. Our interpretation of this is that by rule when the ball is kicked it is "touched" inbounds. The reason the book says "postpone the arrow" is because you are going to do another throw in and as long as there is no foul or another kick violation the arrow WILL CHANGE and B will get the next throw in.

What do you all think?