In conclusion, the findings in this work add new prospective on the debate concerning the feasibility of anti-ohmic wires. The origin of anti-ohmic electron transport is rooted in to the intrinsic electronic structure of the molecule wherein the decreasing gap between frontier electronic states and its localization at the terminal connecting sites of junction drives a nanowire into anti-ohmic regime. The current study put forth the preferential existence of the molecule in CSS state as another guiding rule to observe the desirable increase in conductance. We demonstrate that for acenes, decreasing orbital coefficients results in a regular decay of conductance in both CSS and OSS state, accompanied by a larger resistance in OSS state. On the other hand, cumulenes display a priori all of the features required to be a anti-ohmic wire. However, clouds over this horizon appear with the evolution from CSS to OSS state upon increasing length. For large enough molecules, the CSS state becomes unstable and undergoes spin-symmetry breaking which enforces α and β electrons to localize at the opposite ends of the molecule. This dramatically reduces the delocalized nature of frontier α/β channels yield a consequent decay of conductance as compared to their CSS counterparts. It is worth mentioning that CSS solution is indeed appropriate for lower members of the series with CSS ground state while it does not represent a physical state for higher order members with OSS ground state. The restricted CSS solutions results in enhanced transmission for higher members with incorrect prediction of small or even negative β values. Thus, the use of unrestricted OSS solutions for molecules bearing diradical character is mandatory for accurate estimation of conductance. Overall, the findings in this work highlight that the inherent transition of intrinsic electronic structure from CSS to OSS ground state with increasing length enforces the molecule to yield a regular decay of conductance. Thus, emphasizing the existence of a molecule in closed-shell state along with the two pre-requisites of decreasing HOMO-LUMO gap and substantial orbital localization at connecting sites to observe the desired increase in conductance.