The "game management" situation happened to me earlier this year. I'm T, rebound after a missed shot high in the air, goes off of white. Partner, L, points white ball. I hit the whistle once -- go to her -- told her what I saw, and she told me she passed on a black foul and was thus going to stay with white ball. Nothing more for me to do at that point other than go calm down black's coach. (All I told black's coach was that we saw it differently and the L was staying w/ her call. Coach accepted it ----- luckily).
Two other points: (1) white the Cahill "information giving," while correct and the absolute right thing for the game, it didn't "look" too good because of how strong the C gave the original OOB call. Of course, it would have "looked" even worse had Cahill not come in. (2) I'm a Pitt fan living out west -- it was a horrible call by Cahill and Pitt got jobbed.