Though I realize that you take issue with arguing over word definitions, to me the word evidence has certain meaning that goes beyond every random written sentence, whisper or rumor that you encounter.
Around these parts, a claim that B is evidence for A is a taken to be equivalent to claiming that B is more probable if A is true than if not-A is true. Something can be negligible evidence without being strictly zero evidence, as in your example of a fairy story.
Around these parts, a claim that B is evidence for A is a taken to be equivalent to claiming that B is more probable if A is true than if not-A is true. Something can be negligible evidence without being strictly zero evidence, as in your example of a fairy story.