The minimum area, the flux tube, and Thomas precession

Quark confinement in Buchm\"{u}ller's picture of a rotating flux tube is reconsidered in the context of a minimum area evaluation of the Wilson loop. The question is asked whether resulting spin independent dynamics are consistent with Thomas precessional spin dependence leading from electric confinement. The answer appears to be in the negative; self-consistency of the picture found in the literature is examined and explained in simple classical terms, with illustrations.