Several aspects of a recent controversy between the groups of Grier and Crocker [Crocker, J. C.; Grier, D. G. Phys. Rev. Lett. 1994, 73, 352; 1996, 77, 1897. Grier, D. G.; Crocker, J. C. Phys. Rev. E 2000, 61, 980.] and Tata and Ise [Tata, B. V. R.; Ise, N. Phys. Rev. E 1998,58,2237; 2000,61, 983.] over experimental data vis-a-vis the appropriateness of the classical Derjaguin-Landau-Verwey-Overbeek screened Coulomb pair potential versus the Sogami-Ise pair potential with an "attractive tail" in a charge-stabilized colloidal suspension are discussed. In particular, the relevant and sometimes contentious issue of the interrelationship between the effective colloid charge Z(eff) and the effective Debye-Huckel screening parameter kappa(eff) is explored. Through a screened Coulomb analysis of Monte Carlo (MC) simulations of an isolated colloidal particle and its ion cloud, it is seen that the effective charge and the effective screening parameter remain essentially uncorrelated in practice. Examination of the underlying theoretical premises of the two model pair interactions indicates that they are based on mutually exclusive physical situations and thus experiments cannot be designed to favor one form over the other. The implications of the MC results on the applicability of the screened Coulomb forms of the pair interactions are also discussed.