Erroneous info

[Nevadaref]

Once again you seem to have a misunderstanding of something that the NFHS has written. The intent and purpose passage is directed at a player or team purposely trying to take advantage of a written rule in some way that it is not intended to be applied. It has nothing to do with a team benefitting when an official misses a call or misapplies a rule. You seem to have confused the two.

In this case did the player who scored the goal break any rule to gain this advantage? Nope, an official made a mistake.

If an official hands the ball to the wrong team for a throw-in and the throw-in is completed before anyone realizes that something has been administered incorrectly, what is the proper course of action?
Should the official stop play, erase the throw-in and award the ball to the proper team? No, the NFHS says that it is too late to correct the mistake.

What if the team quickly scores a goal due to the official's mistake of handing the ball to the wrong team? That seems to be rather analogous to the situation under discussion. Did this team gain an unfair advantage? Yep, but the goal stands anyway because that's the way the rules work.