That is exactly what you should be doing. Preventive umpiring. Letting the batter know that they are out and saving the arguments after the fact because no one is thinking, but just reacting.
I almost always will state "On the swing, Batter is out, batter is out".
The most humorus coach is the one that comes out to try and explain that at the time that the batter struck out, first base was not occupied because they had a steal on and his player was on the way to second.??????????????????????????????
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