Yeah but batman is literally just as crazy as the villains he fights. Gotham is just glad he has a weird justice obsession instead of a weird clown or scarecrow kink. That's more interesting than superman just being perfect at everything. I've been reading through "Alan Moore in the DC universe" and like, each of the superman stories are just so one note. He is good at everything, until a random mcguffin comes up and then another charcter comes along to pick it off the ground, and then Supes beats up whoever brought the evil space flower to him in the first place.
I'll be intrigued to see how Gunn handles him too, but in a life time of reading comics the only superman stories I found interesting was elseworld stuff red son and kingdom come where they treat him as a concept more than a charcter.