The former result would produce smaller particles at base of charge, which would dramatically reduce permeability, limiting ability of primer gases to penetrate propellant column. The latter result reduces pore space, which reduces both permeability and porosity. The net result is that the igniting plume of a hotter primer cannot penetrate dramatically farther into granule charge; hence, under certain circumstances, a hotter plume may not effectively penetrate any farther – one could envision a situation where it would not penetrate as far! Certainly, real world experience suggests that often (perhaps, almost every time) a hotter plume does penetrate slightly farther but the difference is nowhere nearly commensurate with actual difference in primer energy.
The hottest Large Rifle primers have at least three times the energy of the mildest Large Rifle primers, yet in some loads these two types do not generate significantly different ballistics. See author's previous PS articles on the subject of primer energy, as measured by distinct methods. (PS 1996 Annual, p 288 and an article published in '97 or '98 come to mind.)
It is long since proven that the plume from primers generating mostly gases, created from a relatively milder blast (less brisance) with more total heat energy (more fuel and oxidizer in pellet mix), tend to effectively penetrate farther than the plume from primers generating relatively more brisance, or a greater percentage of hot particles, as a percentage of total energy.