Well at least we agree on some things because I believe mostly the same about you on here with many of your comments on umpiring. You are one of those guys that knows the rules but doesn't know how to use them in a common sense way. You were one of the guys I hate to umpire with because there was no common sense to your rule interpretation. Knowing the rules and applying them adequately are two different things.
So let's turn the tables on you. What dictates a catch? Do you have to see the ball go in the glove for it to be a catch or if they raise their glove, not show you the ball, is it a catch? the rule is clear but I would love to know your professional interpretation that is different from mine.
What is a timely amount of time to make a call? I don't understand your logic on getting the call right but there has to be a timely execution in relationship to the play. If it had been 1 out, what are the runners supposed to do? Run the bases because no call has been made and take a chance of being doubled up or stay on the base to tag up until the umpire makes a call 2 minutes later and hope they can make it to the next base? Help me with this.
In my situation, the BU had no obligations after the hitter had rounded third so yes he should have gone out to see the ball in the glove if he was going to make the call. In a normal situation, I fully understand. But you cannot assume he has the ball just because he shows you the glove.