I've seen a suggestion floating around that is something like "Adds drop chance per FATE done". So like, if Atmas have a 1% drop chance (just spit ballin' here), each FATE you complete adds 0.1% chance to drop up to a max of 5% if you don't log-out or leave the zone. If you do, the drop chance reverts to the 1% drop.

At least this way you are sorta affecting the RNG in a positive way. Would boost player morale I think, and they would be more willing to suck it up.