I'm still very puzzled by this, for the same sort of reason as [MENTION=5143]Majoru Oakheart[/MENTION] gives in the post above this one.The key is in approaching the scenario from within the assumed role or not. If the DM says " the orc leader Grok demands tribute of 100 gold" then there is a narration going on. If the DM says (as Grok) "give us 100 gold and we might let you puny humans live" there is roleplaying happening.
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Likewise when a player says " Black Dougal tells everyone that he is scouting for traps and moves on ahead" there is a narration of action. If the player says " Think I'm going to scout ahead for traps" he is doing so from the assumed role of Black Dougal, thus roleplaying.
The difference between 1st and 3rd person is very superficial. As a GM or a player, I might sometimes use 3rd person ("Grok says XYZ" or "Black Dougal does ABC") and sometimes 1st person (As Grok "XYZ"; as Black Dougal "I do ABC"). It's a rhetorical choice that is often made on the spur of the moment.
The decision about what Grok says, or what Black Dougal does, can be motivated for exactly the same reason: I decide, as GM, that Grok says XYZ because I think that will push the players' buttons; I decide, as the player of Black Dougal, that Black Dougal does ABC because I think that fits best with the character that has been established, through play, for Black Dougal. There is no particular connection between this non-superifical decision, and the superficial decision about 3rd vs 1st person description of a character's speech or action.
So unless I am badly misunderstanding you, you are saying that the difference between "narrating" and "roleplaying" is nothing but a superficial rhetorical difference in 3rd vs 1st person, that in no way corresponds to any deep difference in play purpose or playstyle. If I've got you right, that's fine as far as it goes, but it doesn't seem a very interesting sense in which roleplaying is not narrating, because your stipulative definitions aren't capturing anything but a superficial rhetorical matter.
But it seemed to me that you were trying to say something more substantial. In which case, I'm definitely failing to work out what that is.