Whose Call at Third?

[CecilOne]

Originally Posted by Manny A

Your other two examples I understand why the PU would take third. And it makes sense that the PU would take the call in the OP play. I guess I'm just overthinking this "first play by an infielder" philosophy.

Isn't the first play or second play distinction about when the BU is on the C, to delineate betwen two umpires both near the play and the BU is closest for a play from the infield(er).
Also for the sake of saying the PU has subsequent plays and plays from the outfield which gives the PU time to get to the coverage.

To me, this is only about attempts to put out a runner at 3rd, not counting fielding a batted ball as first; but only the attempt at 3rd.