Troward, you've got all the hard questions this morning!!
If I were your partner and I had obviously blown a rule application (NOT talking about judgment on a foul call), I would have no problem with you coming over and saying "Hey, Chuck, was there ever team control after the shot?" I would change my call and we'd get the game going again.
However, for some reason, I am verrrrrrry slow to do this myself. It's very rare for me to go my partner even when I'm sure he's blown a rule. Fortunately, it doesn't happen very often. But especially if it's not a critical possession or if it's very early in the game, I think I usually just say "Let's keep things moving". I don't know if that's right or wrong, but it's just me.
Chuck