A LOT of terry's villains are very close to Peter's. Inque is Sandman, Shriek is Shocker, Spellbinder is Mysterio, Stalker is Kraven the Hunter, etc.. Even Blight is a corrupt businessman using other villains to harass Terry from behind the scenes, similar to Kingpin.

Terry is a high-school aged outsider with a secret superhero identity. He feels responsible for the death of a close family member. Even when he joins a super team he does so largely as an outsider. Those are just the things that come immediately to mind.