Good thoughts as to the correspondence, Eikadistes. I haven't got much to go on yet but I think there's a bright line and that Epicurus would require that "weight" not imply that this particular cause of the motion of atoms is operating only because of some external force separate from matter and void. (In other words, given that the universe is infinite in size in all directiions and there's no "bottom," there's no force outside the atoms pulling them "down."
Regardless of anything else, our notion of gravity implies something giving off an attractive force at a distance. Maybe there's something in the magnetism discussion in Lucretius that could be used to explain what "weight" might mean without requiring "action at distance" (without touch being involved).