I would think that the moment due to eccentricity would be comparatively fairly small, it would primarily be resisted internally by the pile. IOW, if the pile doesn't rotate, there's no moment, just a redistribution of forces (which if I'm not mistaken would be towards the stiffer/stronger side, anyway). Punching shear failure of the cap is an all-or nothing proposition - if it breaks, it breaks along the entire perimeter, so a little higher stress here or there doesn't change when the ultimate failure occurs.
There's also the large variability in the shear capacity of concrete, and the unpredictability in the shape of the ultimate failure surface, which makes any attempt to precisely calculate what the punching shear capacity is, a fool's errand.
Rod Smith, P.E., The artist formerly known as HotRod10