From Fig. , it can easily be seen that, according to the VFCI results, the hallmark number of the 16 states of the SU(4) ⊃ SU(2) × SU(2) chain is preserved in the (2,0) conguration; simply the exhange gap J between the space-symmetric and space-antisymmetric states ac-quires a non-vanishing nite value. For example, as seen in Fig. Our verication in the VFCI spectra of the presence of the 16 hallmark states associated with the SU(4) ⊃ SU(2) × SU(2) chain contrasts with the counting from a Hubbard two-site modeling of a Si 2e-DQD that incorporates the VDOF. Indeed, instead of the expected number of 16 states, the model in Ref. allows only for 6 states in the (2,0) conguration. This incomplete conclusion follows directly from the assumption that each Hubbard site has one level only, an assumption that does not allow the construction of 2e antisymmetric space wave functions in the case of the (2,0) conguration.