The value of this story, in my opinion, isn't just that these are neat things to think about. There are deep unanswered questions here that challenge how we understand the connection between materialistic science and a non-materialistic belief in "self", and push the limits of theories of ethics. For example, right up to the very end it keeps throwing new questions at you, such as "What is justice when 'two' people have identical claims on a fundamental right? Namely, which of them gets to keep the body? Which of them gets the estate? Which of them is married?"
Dennett's story is a powerful instigator of thought on these topics.