We care about our future selves, that is central to our lives, but whether a particular person is my future self or not is completely subjective. For example, in teleportation paradox, you can in principle have a subjective belief that person that was recreated from your body is not your future self. The difference from all other views is that this view doesn't give any answers to questions like teleportation paradox (or the answer is - it is subjective).
To expand on it a bit - You can then additionally argue that our subjective concept of the future self was evolved for a certain reason, and to say that you die in teleportation paradox is based on wrong reasoning in relation to that particular reason, but that is an additional argument which could in principle not work for a different kind of entity.