[just another ref]

Originally Posted by M&M Guy

What about the following: A1 misses the 1st of a 1-and-1, B1 rebounds, looks for the outlet pass, and travels. You kinda hear A's coach saying something as your partner puts the ball in play, and A completes the throw-in. While A2 is dribbling the ball, you finally hear what A's coach is saying, "We should've had 2 shots on that last foul!". You blow the whistle, check with the table, and find out that, sure enough, A1 should've had a second FT.

Let's review - you've discovered, or learned, from the coach some information that something wrong happened. You sounded your (poorly-timed) whistle, and discovered that it was, in fact, true. Ideally, the officials should've known that A1 should've had 2 FT's, not just a 1-and-1. So, does your mistake that you didn't hear the coach right away mean you can go back and correct the error?

Not a good comparison. When you first heard of the free throw error, it was already too late to correct. That would be the same as the coach saying, "Hey, they had six on the floor last possession. Number 10 just sat down while you weren't looking."