  We analyze a simple approximation scheme based on the Morita-approach for the
example of the mean field random field Ising model where it is claimed to be
exact in some of the physics literature. We show that the approximation scheme
is flawed, but it provides a set of equations whose metastable solutions
surprisingly yield the correct solution of the model. We explain how the same
equations appear in a different way as rigorous consistency equations. We
clarify the relation between the validity of their solutions and the almost
surely discontinuous behavior of the single-site conditional probabilities.
