Yeah, reviewing flags is a weird thing.
It could definitely help out on these refs getting calls horribly wrong. We're in an age and time where games shouldn't come down to a random judgment call from a ref.
But, on the other hand, if the head ref throws the flag, goes to review it, what's that going to accomplish? He's going to see the same thing he thought he seen the first time.
It becomes this weird cycle of judgment/instant replay.
Also, for the love of all that is holy, put a microchip in the ball that tells us when the ball crosses the goal line. It is impossible to tell if a guy got into the end zone on a QB keeper when there is 21 guys laying at the goal line.
Thats why it should be reviewed by the booth like the TDs are.