I haven't seen many (greens tend to be less common than purples, which are the most common, then blue) but most of the green ones I've seen tend to look like yours -- less shaggy and very haddoni-like. Conversely, I've also seen haddoni with longer than usual tentacles.
I'm willing to bet that the color variants go beyond just the color. For example, when I had my tan/mauve gig with my purple one, I noticed distinct differences with tentacle length and thickness. Of course, this probably had to do with these particular gigs, but I've seen similar characteristics in the same color morphs.