This has been in the case book since at least 1997-8 when I started (and probably a lot longer). I admit that it perplexed the heck out of me as well. But I will say that if NFHS had an editing error, surely it would have fixed it by now. Ok, ok....I'll settle for "hopefully" it would have fixed it by now considering we're talking mostly about the Struckhoff era.
Anyway, here's the deal. BigCat was correct in that the sequence and the words matter. There is no correctable error until it becomes clear that there is a failure to award a merited free throw, and this happens when B rebounds and the officials signal to start the clock.
That's the initial possession of concern. Even if you argue that the error is recognized when players in the lane spaces start to go in, the free throw has already been released at that point, and we all know that there is no team control (and therefore no possession) on a try.
Say it with me now.....there has been no change in possession since the error was recognized.