You would care about that story, until you found out that this story is a lie, an old April’s fools joke that escaped confinement. The words are the same, but your reactions to the exact words have changed with new information about the source.
When we read personal stories it affects our emotions as we empathize with the author, or otherwise share the feelings that the author is trying to convey. When we find out there is no such author, our empathy and our notion of shared feelings vanishes with the new information even though the words stay the same.