It was shown recently by the author [1], that a proper study of the Eightfold Way model vis-a-vis the SU(3) model shows, that the adjoint representation has certain unique features which provides it with a basic fundamentality which was missed out in the earlier interpretations. That paper [1] also showed that the Lie Algebra gives a more basic and complete description of the particle physics reality than the corresponding group does. In this paper we revisit the Eightfold Way Model and provide further support to the conclusions arrived in Ref. [1]. This demands that a proper Cartan Subalgebra be used for the description of the adjoint representation. This in turn allows us to make non-trivial statements about as to how nucleus may be understood as made up, not only of protons and neutrons treated as indistinguishable particles as in the SU(2)-isospin group, but also as another independent structure where the nucleus behaves as if it is made up of protons and neutrons wherein they are treated as distinguishable fermions.