In this paper, we show that such an organizing principle is essential in deciphering the complexity of the twoelectron-DQD (2e-DQD) spectra arising from the interplay of both the VDOF and the selective suppression of spectral energy gaps associated with the emergence of Wigner molecules in the strong-correlation regime. This endeavor is most desirable, given that the recent CI investigations of the WM eects on the spectra and behavior of Si qubits have been restricted to the case of a single QD, in addition to overlooking the systematic patterns arising from the underlying group theoretical properties of the valley isospin.