I doubt it's intended to be representative of the entire film. It's likely just the first of many many
promo shots for the movie that will be released over the next year, and one used to tease the idea of Superman visiting the darker world of Gotham.
That said, I do hope Snyder doesn't make all
the Gotham scenes that dark and overly moody. I've never really care for that exaggerated depiction of the city either in the comics or Batman Begins, where it's just this dank and completely crime-ridden cesspool that you can't imagine ever actually existing in the US.