No, there are useful things I want to accomplish with the remaining lifespan of the body I have. That there is no continuity of personal identity is irrelevant to what I can accomplish.
That continuity of personaal identity is an illusion simply means that the goal of indefinite extension of personal identity is a useless goal that can never be achieved.
I don’t doubt that a machine could be programmed to think it was the continuation of a flesh-and-blood entity. People have posited paper clip maximizers too.
[Consciousness] :The subjective state of being self-aware that one is an autonomous entity that can differentially regulate what one is thinking about.