  We study the dependence of the center-projected string tension on both the
lattice size, and the number of gauge copies used for maximal center gauge
fixing. We show that a recent finding of Bornyakov, Komarov, Polikarpov, and
Veselov (hep-lat/0002017), indicating a substantial breakdown of center
dominance in maximal center gauge, is only obtained for rather small lattice
volumes, and is not found in numerical simulations on larger lattices. It is
shown that center-projected Creutz ratios approach the full asymptotic string
tension as lattice size increases, and that the P-vortex density is consistent,
at moderately weak couplings, with 2-loop scaling behavior.
