That's /exactly/ the method of reasoning which inspired this post.
To me (look below, I managed to confuse myself), it appears like this position is an expression of failure to imagine death, or otherwise failing to understand that there's still an expected value which can be calculated even before death, and actions can be taken to maximize that expected value of the future, which is desribed by "caring about the future".
More than once, I've had a conversation roughly similar to the following:
Me: "I want to live forever, of course; but even if I don't, I'd still like for some sort of sapience to keep on living."
Someone else: "Yeah, so? You'll be dead, so how/why should you care?"
I've tried describing how it's the me-of-the-present who's caring about which sort of future comes to pass, but I haven't been able to do so in a way that doesn't fall flat. Might you have any thoughts on how to better frame this idea?