As I said, I don't really understand what's going on in Dumbledore's head.

"You start to see the pattern, hear the rhythm of the world. You begin to harbor suspicions before the moment of revelation. You are the Boy-Who-Lived, and somehow an invisibility cloak made its way into your hands only four days after you discovered our magical Britain. Such cloaks are not for sale in Diagon Alley, but there is one which might find its own way to a destined wearer."

This is a lie. He claims to have deduced Harry's possession of the cloak by seeing the storylike pattern, when he personally wrapped the cloak and placed it next to Harry's bed. He's trying to convince Harry that life is like stories. Then he contradicts himself in a later chapter. Why? I don't know. "He did it because he's crazy" is an answer that can justify any outcome, doesn't concentrate probability mass, etc., but he sure isn't acting in anything like a coherent fashion.

Dumbledore does think in stories, but he probably doesn't realize it. Some stories don't fit his model (if the villain carries too large an idiot ball or something?).

That's the best explanation I can come up with.