It is true that a story, even if it is already written in one way by its author, can be different through the eyes of others. It all depends on who and how you read it.
A story is different how it is heard and another is how it is read. If the person reading the story does a good reading, I can remember a lot of what he says, but if, on the other hand, I am the one reading the story, I can fix much better in my mind the things that catch my attention the most.