If I was confident in a GAI's ability and willingness to emulate me, then I might be willing to grant it my identity, after I die. My work would carry on, and accelerate, while I would still get to have the final experience of death, for better or worse. The people who depend on me would not be abandoned, and the people who like me, might like the new me even better.

We might become a species that undergoes metamorphosis from a carbon based body to a silicon based body. How much of a caterpillar remains in a butterfly, when it emerges/ascends?