You are missing the point - CV is the story. Some prefer prose, others prefer structured text. You should not penalize anyone due to their preferences of the form.
I'd be very interested to see a CV that I really felt was s story. I know it's possible to make up story to fit one, but I still see them mostly as specs rather than something that gives you a sense of the person.
Otoh, I'm going to try and remember this the next time I make a CV and see if i can make it a story. If done well I can see this as a powerful way of presenting yourself. (And for clarity, I mean a real story that gives a sense of the person, not the story of some career progression)
