Analytic expressions for the D --> infinity limit previously evaluated for one- and two-electron diatomic molecules are compared with the familiar D = 3 potentials as functions of the internuclear distance R for H-2(+), H-2, HHe+, and He-2(2+). We find that the D = 3 potential can be obtained from the large-D limit simply by E(3)(R) E(infinity)(R)/G(R), to good approximation, where the function G(R) has the same form for the four molecules. Furthermore, 1 - G(R) has a corresponding-states property; when reduced by two parameters, it becomes the same function for all four molecules, nearly proportional to x(2)e(-2x), with x the scaled internuclear distance. This suggests that the pseudoclassical D --> infinity limit may provide a useful reference for analysis of intermolecular potentials.