Before revision:  Under a mild continuity assumption, it guarantees to each agent her minMax utility : that of her best share in the worst possible partition. This is lower than her Maxmin utility : that of her worst share in the best possible partition.
After revision:  Under a mild continuity assumption, it guarantees to each agent her minMax utility : that of her best share in the worst possible n-partition of. It is weakly below her Maxmin utility : that of her worst share in the best possible partition.