FYI, narrative = story, account, or history and makes no reference to structure in the least.

If we are establishing meaning based on correlating synonyms, then yes. But that’s not how meaning works. Two similar words used in an identical context rarely convey the exact same meaning. There are different shades, connotations, etc.

Also, I am going to invoke Wikipedia’s definition of narrative which states: “A narrative (or story) is any account of connected events, presented to the reader or listener in a sequence of written or spoken words, or in a sequence of moving pictures.” [Emphasis mine.]

Structure is, in fact, implicit in the definition.