When do we not reverse the AP arrow?

[Shooter14]

Originally Posted by bob jenkins

It's postponed until the next held ball -- not until the next throw-in.

Is that in the book somewhere? I've read and studied this rule in the rule and case book at length. Had a 30 minute postgame discussion last night with my partner as we were both researching through the books to find a definitive answer. We didn't see anywhere where it expanded upon "postponed". I didn't see it in any notes or additional comments. The conclusion we came to was that the book defines a difference between a foul and a violation. A foul doesn't lose the arrow clearly, a violation postpones. If they are meant to have the same meaning, why in the same paragraph cite a difference between the two?