I’m a writer and was in need of something to do, so I made individual lore for each of my guardians. Is that a thing that people do? Should I stop?
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It's normal and an enjoyable way to experience the game which enhances the game in my opinion. As others have said, the canonical Guardian's story is given by Bungie, which we experience through their eyes when we play that content. Obviously we can't all be the same person, though playing with that mindset isn't wrong either as it is mostly intended for the viewer to be the hero.