I have done every single step for the Hunter's Remembrance Quest, and I still cannot get the Wish Ender because when I go to the statue after the Ogre in the dungeon it still says "requires purified mementos" even though it says I have purified all 3 of them! This game is very frustrating, I have been trying to do this quest for 4 years and it is still bugged.
BUNGIE FIX YOUR GAME!
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I completed the quest on a different character by accident than the one I picked up the awoken momento; if you did this all you need to do is dismantle the awoken momento in your primary slot on the character you picked up the momento and go pick up a new one from Petra Venj on the character you completed the quest with and then you can jump right back in to the shattered throne save spot and voila Wish Ender. Hope this helps.