The principal difference in the origin of high-order optical nonlinearities caused by metallic nanoparticles embedded destructively in oxide-and chalcogenide-type glassy matrices is justified from the viewpoint of a chemical-bond approach. The numerical x-criterion is introduced to describe this difference in terms of energetic barrier between the mean molar bond energies character for inner chemical interaction of destructed components of a host glassy matrix and guest implanted atoms such as Cu, Ag, and Au. It is confirmed that destructive clustering of metallic nanoparticles is possible in hard dielectric media like oxide glasses possessing a strong negative x-criterion.