Spider-Man at his angriest still always goes back to his boyscout ways, that's the modern must for the character forever now.
Now he COULD do that easily, he just doesn't. He also hardly ever involves himself with crime unless he stumbles upon it while web slinging through a daylit NYC or it's a super villain heist or attack.
Really, makes you wonder what goes through his mind when he sees on the news stories of a pedo or rapist on the loose. "Well, can't go LOOKING for trouble now can I? The cops will handle that"