To be fair, here's my take:
Raimi is classic Spider-Man: Classic costume, classic hair (besides the emo look in part 3), and Raimi's love for the classic stories.
Webb represents a more modern Spidey: Streamlined costume, bedhead look (which I have too, so it's a plus for me), and influences from the Ultmate Spider-Man line, along with other up-to-date stories.
There's nothing wrong with either version me thinks. Just different interpretations. And that's what we want, especially with a new director and a new direction.