Revisiting a low-dimensional model with short range interactions and mean field critical behavior

In all local low-dimensional models, scaling at critical points deviates from mean field behavior -- with one possible exception. This exceptional model ``ordinary" is an inherently non-equilibrium studied some time ago by H.-M. Broker and myself. simulations, its 2-dimensional version suggested that two exponents were mean-field, while a third showed very small deviations. Moreover, the numerics agreed almost perfectly explicit model. present paper we simulations much higher statistics, both for 2d 3d. cases find deviations of their values are non-leading corrections, {\it precisely} type. As in original paper, propose mechanism this ``confusion", strong randomization phases feed-backs can occur systems.