A Gotham without Batman

I love the show (gonna kill in award season) its honestly great in every important aspect but something does bother me. This is a pre established Gotham based from The Batman movie and directly tied to the events of that movie. Yet the existence of Batman isnt even mentioned. I know the creators made it clear he wont appear and thats good i like that they want this show to shine from their well written characters but I think its a flaw how extreme they exclude his existence. The man exposed and brought down Carmine. Has street thugs (their drug dealers) scared of every shadow according to the movie. Yet not a single bit of percaution to avoid drawing attention or mention of his name seems ridiculous for a show based on Gotham criminals. This version of Gotham is booming with personality but what even is Gotham if Batman doesnt even exist? A full on gang war has broken out and young dealers are being tied up dead. Its just so weird to me.