Just adding fuel to this fire. Not only did I delete one of my characters for this purpose, but I've also started another one just to discard all the ammo synth I'm getting now with this HoW DLC.
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I am sorry you felt that you had to burn a character over this but it recently dawned on me that this might be Bungie's passive aggressive way to punish those of us who over-farm the Ether Chests. Instead of eliminating the "treasure cave" or artificially banning abusers they just fill up your inventory with crap which will take you a while to burn off. Hence you are forced to play the main part of the game and leave the farming to be just an occasional activity which is what they probably intended it to be. Very DEVIOUS Bungie, very very devious… …and well played.