He's still Batman. He does detective stuff, doesn't have superpowers, Gotham is appropriately grimdark, etc. Terry doesn't have to learn that with great power comes great responsibility like Peter does. The only similarity is that he's a working class wisecracking teenager with a somewhat agility based fighting style. Peter Parker was never a burly hoodlum before he got his powers, and he doesn't see being a superhero as a way to make up for mistakes he made as a normal. He also didn't steal his powers. Terry is a much more mature and slightly darker character than Peter at the start of his journey. He's not an academically minded geek, he's someone who's experienced the real world and understands it. He's got street smarts, he can fight, and he can lie.