Exactly. I personally find this fact interesting as well. The Peter Parker in the Spectacular Spider-Man cartoon seems to be universally accepted even though he only seems slightly like a social misfit rather than a full blown bullied nerd.
I wonder if everyone just has their own unique perspective as to what their Peter Parker is. For me the fact that the TASM/Andrew Garfield Peter Parker didn't have a ton of friends or an amazingly outgoing social life, and was misunderstood by everyone but Gwen, kinda makes for a solid interpretation of the character being a modern social misfit. However, I will admit the graduation scene in the Amazing Spider-Man two a little bit too much on the 'cool' side of things for Peter Parker.