Double Foul POI question

[SAK]

Originally Posted by PIAA REF

NFHS rules,


(I thought A retained possession, with POI; I was told that it went to the arrow because of no team possession)

The key here is that A there is no team control here.
4-12-6 Neither team control nor player control exists during a dead ball, throw-in, a jump ball or when a the ball is in flight during a try or tap for a goal.

You can only resume play with a POI throw-in if there is team control. Since no team control exists you cannot have a POI throw in and must go to the AP arrow.