You have to understand that the SECOND throw-in is NOT an AP throw-in. It is simply a throw-in awarded to a team because the opponent committed a violation (in this case a kicking violation).
Now once you accept that fact, you will agree that there is no reason to switch the arrow after the second throw-in. The AP arrow has nothing to do with this throw-in.
If someone kicked the ball during play and you blew the whistle and administered a throw-in, would you want to switch the arrow at the end of that throw-in? Of course not. The principle is the same here.
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