The theoretical study of dipole plasmon resonances in bulk-doped CdS semiconductor nanocrystals has been continued. In this paper, the case of a larger number of free carriers in a nanocrystal was considered. It was demonstrated that the giant dipole resonance dominated in the photoabsorption spectra of the systems considered. For this case, all the trends and dependencies revealed earlier were established to remain the same. Thus, the character of the collective mode can change from the classical dipole plasmon regime to the size quantization one when varying the height of the potential barrier at the nanoparticle boundary. In so doing, the character and rate of this change depend on the number of free carriers and the nanocrystal size.