I voted no.....but I would rather answer with a "maybe".
In most cases, I find that the plate umpire is busy with notations on the lineup card, whether the new F1 is a substitute or just a position switch. I have found that the BU will monitor the number of warmup pitches from somewhere near the circle. As BU, I may tell her the number of outs, but not the placement of runners....she can figure that one out for herself by looking. As others have stated, as PU, I will announe the count, if there is one before resuming play.
This is not anything that I have been taught, just what has evolved over the years. It's not in any umpire manual, but I don't see any harm in it.
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