I had this exact thing happen to me at camp a couple summers ago. Dan was at this camp with me but was not the other official involved in the play.
I was Trail official. A1 shot the ball from about the FT line. Just as A1 releases the ball, Lead official whistles a foul underneath and comes out
strongly waving off the basket. Ball goes in. I am 100% sure that the shot was released (forget about whatever crap you've heard about 110% sure).
He starts toward the "table" (cutting through the lane, but that's another issue
) but I intercept him after he takes about 3 steps.
I said, "Ask yourself if the ball was in the air before the foul". He immediately realized that it was and gave a "good hoop" signal.
Now, a couple things about the sitch: I should've selected my words better. I should've just told him that I was sure the ball was in the air. I was trying not to paint him into a corner, but instead it could've been interpreted as condescending, which was not what I intended.
Secondly: if he'd said to me, "It was definitely before the shot", I don't think I would have argued with him. Like Rut, I'm not going to get into a debate. I gave my info and he has to live and die with it. I
might have asked our Center official if he had a good look, but I wouldn't have gone through a long discussion. Fortunately, he realized immediately that it should've been a good hoop.