Team B violation on a throw-in to start the 2nd, 3rd or 4th period
 

NFHS rules. Team A is in-bounding the ball to start the 3rd period. Team B violates by intentionally kicking the passed ball before the throw-in ends. I am certain Team A gets to attempt to attempt another throw-in. When the next throw-in attempt is completed does the AP arrow remain with Team A due to the kicking violation?
I read case play 4.42.5 COMMENT: The kicking violation ends the alternating-possession throw-in and as a result, a non-alternating-possession throw-in is administered. When the ball is legally touched on the subsequent throw-in following the kicking violation, the arrow is not changed and shall remain with Team A.
Are there any exceptions because it is the start of a period?
Thank you in advance to all.

Kicked Ball ...
 

Start of period is still an alternating possession throwin and thus the caseplay still applies.

No exception due to the throw-in being at the beginning of the quarter. However, the NFHS uses poor language in that comment. The kicking violation does NOT END the throw-in by rule as it is not a legal touch. If the throw-in had ended the arrow would reverse, but we know that it does not in this case.
Additionally, the NFHS issued “a clarification” this season, which is really a rule change, stating that a throw-in boundary plane violation by Team B (the defense) during an AP throw-in does not result in a subsequent non-AP throw-in, but rather simply another AP throw-in for Team B. This is inconsistent with the rule and all of the other instances of defensive violations during an AP throw-in. Very poor from the NFHS.

Unless the throw in to begin a period is the result of a foul during intermission, it's an AP throw in just like any other AP throw in.

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Ancient Times ...
 

This was not the case in 1985-86 when the alternating possession arrow was first introduced by the NFHS.

Back then this kicking situation was described as an illegal touch, but nevertheless a touch that ended the throwin, so the alternating possession arrow switched.

I'm not sure when this switched to the current interpretation (illegal touch, no alternating possession arrow switch), but I do remember the first time I encountered this situation after the rule changed to its current interpretation.

As the calling official I ruled incorrectly and was politely corrected by my rookie partner.

I have always maintained, as a veteran official, that the rules are not difficult, it's the rule changes that are difficult.

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