Heavier things really do fall faster in the sense that they also pull the earth towards them which increases the relative acceleration and thereby decreases the

Heavier things really do fall faster in the sense that they also pull the earth towards them which increases the relative acceleration and thereby decreases the time until they hit each other. F = G * m1 * m2 / r² This tells you that the acceleration of mass 1 is independent of the mass 1 and only depends on mass 2 and the acceleration of mass 2 is independent of mass 2 and only depends on mass 1. But the relative velocities will increase when either m1 or m2 is increased. E.g. a black hole with the mass of the earth will hit the ground of a (perfectly rigid) earth in almost half the time as a feather would. (I won't go into relativistic effects here.)