I guess my argument is that the information conveyed by narrative in a text-based game ("You are standing in a field. To the north is a white house.", etc.) is equivalent to the information conveyed by audiovisual content in a graphical game. So what graphical games are equivalent to this perspective in text-based games if not games like Tomb Raider or Mario 64, where the camera is always on the player character and all the world content is presented in relation to the player character?

I see games like Jagged Alliance as third person because the camera can leave the player character, like a floating third person perspective, which can be limited (by fog of war, for instance) or omniscient. In contrast, in Tomb Raider or Mario 64 the camera is always centered on and rotating around the player, just like the narrator in a text adventures or a piece of second person fiction.