Non-linear narrative

It worked just fine. Even actual comic books have used non-linear narrative so it isn't as if Nolan using it here was anything remarkable or unusual for the genre.

I think it worked for the movie. It was entertaining and easy to follow. I thought it was going to be a lame film, but it surprised me at the time (this was post Batman and Robin). I'd keep the current format.

The structure was handled very well due to the early flashbacks coinciding with Bruce's character development in the present. It also helped that they played out in chronological order, from his early childhood up to his turning point as a young adult.