In a partial equilibrium framework, SHARKEY and SIBLEY [1993] show paradoxally that all redistributive optimal two-part pricings are sustainable. They also suggest the extension of their main result to non-linear pricing. In this paper, it is shown that in fact their result doesn't extend generally to non-linear pricing. First, a numerical example yielding negative results is put forward, secondly, the robustness of this negative result to variations of equilibrium solutions is analyzed.