Again, it is more than semantics. He isn’t Car’a’carn until the clan chiefs say so. I don’t care how pedantic this for y’all…I will die on this hill…at this point in the story, ain’t no Aiel saying “that’s my Car’a’carn right there” especially without the dragon tats.
Of course, the show may change adapt things with the Aiel, because “the stone that never falls will fall to announce his coming”.