What you do not often get is reflections on the people who will be annihiliated by this.
Often, you get people who are explicably the same people despite the change -- somehow preventing the fall of Rome two thousand years ago or the like still results in the same people being born, though they can be otherwise utterly changed -- or people who vanish. You seldom get newcomers to think about.
In Cursed Child, the disappearances are a matter of concern. But the only character allowed on stage who will not have a place in the restored timeline clearly understands that he is working for his own annihiliation and does it voluntarily. A few people who will not exist are mentioned and brushed over. . .
Then , Poul Anderson brings it front and center in the Time Patrol stories. The effect is -- bleak. Very bleak. There's no way around it except to ignore the question, somehow preserve both timelines, or have a third timeline that merges both -- perhaps chiefly the first, but with a few of the better things from the second.
Or, of course, leave it alone. That's what Endstone ended up doing.