The homogenized neutron diffusion equation for Benoist’s uncorrected diffusion coefficients is derived. The approximations in the asymptotic and buckling methods are analyzed to show that both these methods are identical and that Benoist’s corrected diffusion coefficients should not be used in the diffusion equation. Furthermore, the practical limitations of the homogenization methods are discussed, and it is pointed out that the use of Benoist’s uncorrected coefficients in the diffusion equation may be superior to the use of the coefficients of Larsen or of Deniz and Gelbard. It is also recommended, in view of the severe approximations made in the transport theory to arrive at the homogenization prescriptions, that the accuracy in the results of the homogenization methods should be examined for a few benchmarks in slab geometry which are amenable to transport theory solution.