A narrative is an agent’s Story considered as Intelligible in terms of roles, communities, values, etc. This type of therapeutic narrative is more like an inner Story. It doesn’t cohere outwards, it’s not meant for others, it’s often secret and confidential.
My Story should be something that people could tell in broad strokes, maybe after my death, in an Intelligible and hopefully nice way. That wouldn’t be a Story of my confidential inner turmoils, etc—it would be about who I was, what I did, what I said.