The main source of concern with moving for the angle on the play at 3B is being out of position for a ball hit to the infield. (I don't buy a throw to 2B: if F2 has a play, it's FAR more likely on R2 stealing 3rd than R1 stealing 2nd, but even if so, see below.)
But think about it: in the time of a pitch and throw down, how far will you get? 3 steps? 5? Not a lot, and the direction is crucial: I think Rich pointed out you move to the midpoint of the baseline between 3B and HP to have the optimal angle, which does take you out of the working area.
If the ball IS hit, you will have time to move back into the working area for the play at 1B, and in any case your angle will be approximately correct for that call.
As we know, 2-man mechanics is a system of compromises. We prioritize this play: 1. cover steal at 3B, where the throw is most likely and the angle is worst from C; 2. return to working area in case of a batted ball. Oh yeah, and don't let the batted ball hit you!
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Cheers,
mb
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