The variable of staying on attack/glide slope is missing in your set up.
If all you want to do is descend, set a nose attitude for X airspeed, and descend at an identical power setting, my brain says the heavier aircraft will fall (vertical velocity) at a higher fpm, due to lift having less work to do.
If you are descending at a constant rate, a glide slope, an attack angle, you are still in a state of equilibrium of forces, you are unaccelerated.
OK, start with max thrust, so we have a constant power setting. You set an approach path (dive angle) at the face of the Pentagon. (Probably a piss poor assumption, really, given the guy in question is flying by hand.) But, in the hands of a "good stick," and given a pretty stable glide path, which you adjust with the stick/yoke, the ligter plane would of course accelerate (his flight path is more horizontal, less vertical) faster than the heavier plane, for the same targeted glide path. Is the difference significant at max speed? Probably not, in this 400+ knot missile mode.
If, on the other hand, you are trying to dump the nose and fall as fast from teh sky, (that old vertical dive) without using any speed brakes or flaps or spoilers, I'd guess a heavier aircraft would achieve terminal velocity first, if we assume both aircraft remain intact and retain lift.
DR