Your question;
"Should a WH be authorized to overrule the calls of the other officials?"
The answer to the poll question, as written, is and can only be
YES!
Why? Because of the game situation where an official throws a flag in error?
Consider this situation:
A young fireball Line Judge throws a flag in a NFHS game for an ineligible reciever downfield during a punt!
This situation kinda trumps all your other "what if's!"
Which is why I voted "
Yes"!
Nuff said
