I would say it's more Peter. As a matter of fact, spoiler (click to show/hide)
the first battle is Peter as himself-- NOT as Spider-Man. I think a good 30 minutes went by before the suit even appeared
plus there's the struggle with the black suit, which leads the "emo" (but not really) bits, which are fucking hilarious for the most part, not depressing.
To me this movie was more along the lines of the first Spider-Man, but I think it's safe to say if you like the previous two, you'll like this one too. If you didn't like the previous Spider-Man movies, don't bother.
Bruce Campbell gets more screen time in this one, too! :D