Well, being famous and being fully vindicated in the public eye are different things altogether. The street level perspectives we get on Spider-Man tend to vary wildly. It's pretty balanced overall. Some love him, some hate him, some don't care.
Some anti-social tendencies are baked into the character DNA from the beginning. His first instinct is to withdraw into the world Aunt May and Uncle Ben have built for him. Even as his outlook matures with regard to his personal responsibility, he doesn't feel obligated to share much of himself with others. His closest confidantes are people who discovered his identity, not people he chose to tell. That's not a flaw or a virtue, it's just his personality. Sometimes those tendencies serve him well and sometimes they don't.And Peter shouldnt ever represent anti social struggles, hes gotten to many girlfriends and high connection relationshios with heroes to represent that. Thats more Kaines department.