With 2 umpires, I am also in the B position for the 1st and 3rd situation, first because the picoff at 1B is more likely than the pickoff at 3B, and second because I will have responsibilities for the batter-runner on a batted ball to the outfield, since HP will be rotating to 3rd to make the ruling on R1 advancing to 3rd.
Even with 3 or 4 umpires, the inside umpire should be in the B position rather than the C position with a runner on 1st, because B (deep B in 3 or 4-ump mechanics) allows the umpire to get in the wedge better than C does on a steal of 2nd base. As I have learned at MAC-UCU 3-person camps, the U3 (for 4-umpire crews, the U2) is near the dirt-grass line on the 1st base side of the mound, where he can take 2 steps or so to the right to get in the wedge.
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