Bruce wouldn't say he was obsessive over his city. Hey, he let his kids handle crime every once in a while. He took a day off for a Gala, didn't always check all the security cameras around the city to make sure everyone was doing their rightful, usually dutiful chores.

...

Ahem.

So no. He wasn't obsessed. He couldn't possibly be, he just cared about his city and most of the people in it. Most.

He didn't particularly care for the likes of the Joker or Penguin who chose to make his life a nightmare on purpose, but that was nothing a good anger filled beating and a nice chilled 'Bruce Wayne Cocktail' (as it was conveniently named) , which involves cold brew coffee, bourbon, and maple syrup, couldnt fix.

Bruce was stood brooding on a rooftop — it was dark out, as it usually was when Bruce adorned the batsuit and chose to brood on the roof of a tall building — with his newest (and stubbornly talkative) sidekick at his side.

They were asking stupid questions again. Where do you go when the sun rises, or maybe Are you really part bat? Or something along the lines of is it true you can hear the breathing of every Gotham citizen through pure brooding? when he finally responded.

"Kid, I recognise the heartbeat of every Gotham Citizen. Not the breathing. Check your facts before bombarding me with stupid questions. We're working."

He responded plainly, crossing his arms over his chest without even sparing his sidekick a glance from under the cowl, to him, that was something as simple and as common as asking about the weather.

...Not creepy at all.