How to handle end of game clock situation

[Nevadaref]

We've had this discussion numerous times before on this site.
I've always advocated the following:
1. Only the Referee may correct a timing mistake. The Referee may take input from the umpire(s), but must make the final decision.
2. Once the throw-in is touched inbounds, it is over and any stoppage for a timing error now results in a POI throw-in. There are no do-overs under NFHS rules.
3. 2-7-9 lists the officials counts during the contest. Those are what may be used to correct an unnoticed timing mistake.
4. If an official notices that the clock did not properly start or has improperly stopped and does not wish to halt play immediately because a scoring playing is in progress, the official needs to start a visible count and continue it until either halting play for a correction or to signal that time has expired. Having this count be visible is important because it can be verified via video in the event of a complaint.
5. If the clock improperly starts prematurely, prior to the ball being touched inbounds, an official needs to notice and stop play immediately and before the ball is touched inbounds. The time can then be restored and the game resumed from where that the throw-in was located. If already touched, then POI is required and some small amount of time must be deducted for the inbounds touching.
6. If no visible counts were made while the clock was not properly running, then no correction can occur, other than a small deduction for a throw-in catch or touching. This is unfortunate, but officials can't make their best guess nor use non-visible counts which aren't part of 2-7-9. There does not exist a single NFHS ruling or Case Book play in which an official counts in his head and uses that for a correction.