Currently there are so few spaces in the Elite Dungeon chest that if you want to do trilogy runs (for variety, the elite chest loot, etc) then you have to keep emptying and refilling the chest unless you don't mind a fair bit of the loot to fall to the floor.

It'd be really nice to have a separate chest for each dungeon or if that isn't possible to have more space within the chest itself.

On the topic of trilogy runs, it is worth mentioning that doing them in groups is also incredibly annoying (the matchmaking/group system requires constant readying, changing boss, re-readying, etc).