I will do my best to follow the casebook play:
If all players on both teams go for the rebound, giving each team "equal opportunity to gain possession of the rebound," then play should continue.
However, if even one player on one side or the other even hesitates before going for the rebound, then "the official's error clearly put one team at a disadvantage," and the play should be whistled dead as quickly as possible.
But even if somebody scores before the whistle, it doesn't count because the ball was already dead because:

"The ball becomes dead when it is apparent the free throw will not be successful on a free throw which is to be followed by another free throw."

From the NCAA:

Ball in Play When Free Throw is Missed
A.R. 184. The official informs the players along the free throw lane that two free throws shall be awarded when a one-and-one bonus is in effect.
(1) While all other players remain inactive, A2 rebounds the ball and successfully scores a goal. The official discovers that he or she misinformed the players; or
(2) B2 rebounds the ball and passes it to the official, who is positioned out of bounds. The official discovers that he or she misinformed the players.

RULING: The official’s misinformation to the players caused the inactivity. As a result, in both (1) and (2), the ball shall be put in play with the use of the alternating-possession arrow. In (1), A2’s goal shall not count. A1 did attempt his or her merited free throw, so there is no error to correct. When any time has elapsed off the game clock and the official has knowledge of this time, he or she shall rectify the situation.(Rule 8-5, 4-53.2.d and 5-11.1)

BadNews,
Thanks for furnishing the NCAA ruling. I happen to agree with it.

Now if we could get the NFHS to adopt the same, then we could justify cancelling the goal without a whistle.

I submit that the official killing the play is a mental event, like the granting of the timeout requested by the airborne player, and takes place instantly upon realization of the circumstances, not when the air is put into the whistle.
How about that?

All I know is that you're already in a world of hurt by informing the players wrong information in a FT situation and one team is going to have to burn an arrow but now you're going to allow one team to take advantage of that mistake and score an uncontested two points and let it stand? :eek:

Not sure where a "world of hurt" starts and ends, but let's put it this way. You give wrong information and cause a team to burn an arrow, nobody will remember it tomorrow. If your mistake results in an uncontested basket, it is likely to be remembered for a loooong time.

Nice try, but that's the way it works in soccer, not basketball. ;)

The NFHS basketball rules very clearly spell out how the ball becomes dead in 6-7. One of those items is "...An official's whistle is blown."

It doesn't say that the official decides to sound the whistle.

Sorry, try again. :(

I agree with Nevada, by rule, it's a tough sell to cancel the basket.
In practice, it would be a tougher sell (to my assigners) to let it stand.
In practice, I'm blowing my whistle when the ball is in the air off the rim; or, at the latest, as soon as a player has the ball and is making a move.

So, as I understand it, it is conceivable that we may one day read in a Nevada newspaper:

"The winning basket was allowed to score when the official sneezed, causing him to be a split second late whistling the play dead."