Storytelling: the stories we don't tell

I am slightly wary of the storytelling wave that has taken over these days. I worry about appropriation - the question of whose stories we tell and whether they are ours to tell looms large for me and oddly doesn't pop up that often in the workshops I've been in on the topic unless somebody asks. But, one thing I'd not given a lot of thought to was the stories that we don't tell - particularly the ones that we do or don't tell about ourselves.