Depends on "To Whom? When? " A purely emotional time dependent dilemma shared by Intelligent Life Let's say a star is sucked into a black hole in a galaxy.
Does it matter? . . . . . . . . . . . TO WHOM? To the fellow stars? To the curious astronomers in Hawaii? To the disabled circus performer on stage?
If it does keenly matter to the astronomer, Would it have mattered less if he is retired, Divorced battling cancer in his old age? It would have probably mattered more to him during his prime years as a enthusiastic astronomer.
If you introspect thoughtfully, You'll realize anything that matters, Is for someone at some point of time.
It is important for humans to matter. If we didn't matter about our children, We would neglect them, Decreasing survival of our species. If we didn't matter about our fellow humans, How can our social system work? Can a human function if nothing matters to him? No. He will kill himself or neglect himself leading to death.
When things matter to us, We tend to exist, Care and survive.