We've all made our guardians just how we want them; they're the class we want them, the race we want them, and they have the face we want them to have. It'd be a subtle, yet great customisation option if we could name them.
It shouldn't show as a display name though, it should only be visible to others when they inspect your character.
EDIT: to support and sign the petition, leave a comment saying: "Name our Guardians"
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I too would like the ability to name my individual guardians. This would add a greater connection to my character and not make me feel like I'm just running around some Joe Shmoe. Even if that's what I'm doing at the time, LOL, Joe Shmoe will feel personalized. Even if I decide to make 3 of the same class, or one of each class, I'd like each character I make to have a personalized touch, by having their own identity, even if it's just simply a name.