A semi-analytical fugacity-based model formalism to investigate the normal instability modes excitable in strongly correlated self-gravitating dust molecular clouds (DMCs) on the Jeans spatiotemporal scales has recently been reported. It is based on a viscoelastic magnetized complex plasma with charge-fluctuating heavier dust grains with non-thermal ( κ -distributed) lighter electrons and ions in an astrophysically relevant generalized hydrodynamic (GH) framework. In this continued study, the dispersive properties of the dust Coulomb waves (DCWs) in the high-fugacity regime (HFR) of the constitutive massive, charged dust component are extensively investigated in new multiparametric windows previously remaining unexplored. It is particularly seen that the equilibrium electronic concentration, dust charge number, and azimuthal magnetic field act as DCW accelerating stabilizing agents against the ionic concentration. It is illustratively found further that equilibrium electronic concentration, dust charge number, and azimuthal magnetic field (ionic concentration) interestingly act as normal (anomalous) dispersive factors. The real astronomic relevancy of our investigated results is summarily highlighted in light of the RCW 38 regions of the dark DMCs leading to gravitationally condensed astrostructure formation and evolution.