I completed the Red War about a month ago and all was good in the world, I was pumped that I beat Ghaul and then a friend had a really cool sword he said he got for completing the campaign as a Titan. I of course asked, "Oh, do Warlocks get a sword for completing the campaign too?" and his response was, "Yeah, they get Eternity's Edge."
Needless to say when I went to Collections to check on it, I did not see it unlocked, and yet I have the triumph for completing the mission where you fight and kill Ghaul. No clue why I don't have the sword, and I really like playing with swords ;^;
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Legacy campaign completion rewards have been retired. Those items can still be earned through world loot drops.