matrix is more air than glass, lava rock is more rock than air. more air means more aerobic bacteria. the fact that matrix is basically a dense framework as opposed to a solid object means more surface area for the bacteria to attach and grow on too. while lava rock is riddled with holes, it's much more solid and more of a pock marked surface than a network of passages.
with matrix you also have inner areas where the water movement is extremely low. the oxygen in the water has been depleted by the outer bacteria and you have an anaerobic area for further biological filtering.