Some have attempted to respond to the worry about bad or false narratives by introducing a reality constraint to narrative views, one that's buttressed by appeal to third-person storytelling (Lindemann 2001; Schechtman 2014, Ch. 3).  But allowing third-person narratives into the mix causes a sea change in our enterprise, for it greatly broadens the range of identity-related practical concerns we will need to explain.  To see this important point, suppose that we start with a purely subjective, first-person narrative account of my identity, according to which I gather together various experiences in my life as mine so that I can tell a sensible story unifying the actions for which I'm morally responsible, the experiences I can rationally anticipate having, the burdening experiences for which I can justifiably be compensated with benefits, and the expected future benefits or burdens I may prudentially care about.  Notice that telling this unifying story both requires a robust set of psychological capacities and incorporates just those actions and experiences I have had (or will have) while in possession of that robust set of psychological capacities, i.e., the story is just about my life as a Lockean person.