He's rather unnecessary in both Avengers and New Avengers. Spidey is much better, in my opinion, as a solo hero and the only team he should be on right now is FF. Which he accepted out of honor and respect for his good friend Johnny Storm.
During that whole team picking business at the beginning of New & Avengers I would have liked to see Peter respectfully decline his invitation to be a member of the Avengers teams. Dude just has a lot on his plate allready. Same goes for Wolverine.