I've looked it up and the official name is "obviative" and it is sometimes referred to as the "fourth person".
That still sounds like a special type of third person, though I guess that's just disagreeing about terminology.
I see why you would analyze it that way but I also see that it deserves a term in its own rights. As you said, it's all terminology. There are no objective definitions, at least not in linguistics
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I've looked it up and the official name is "obviative" and it is sometimes referred to as the "fourth person".
That still sounds like a special type of third person, though I guess that's just disagreeing about terminology.
I see why you would analyze it that way but I also see that it deserves a term in its own rights. As you said, it's all terminology. There are no objective definitions, at least not in linguistics