If the catcher is not sure, he tags - that is taught. If the umpire is sure, he says "batter's out!" Batters are taught to run. It is not up to the umpire to signal "no catch", and thus tell the batter "run". Let them figure it out for themselves.

The issue with the ALCS debacle is whether or not Eddings actually called Pierzynski "OUT" he appeared to give the "out" signal but then later on says no. There is no way whatsoever that he could be sure the ball was caught. The Angels catcher screwed up by not tagging just to make sure. Everybody assumed something. We all know where that gets us. I think Pierzynski also reacted to the fact there was NO CALL. All this means is that he reacted the way he was supposed to. Whatever you want to call it it was still smart baserunning on his part.