It's funny because a lot of people associate Battinson with all those 2000s pop-emo-rock bands where I feel like the whole thing is more evocative of the 80s/90s. Sure, Reeves gave us Nirvana, but when I see this Batman and the world developped around him, I'd hear more of Alice in Chains, Joy Division, Bowie's Outside album, that mid-90s NIN and Manson sound, etc. Well, it's all subjective anyway!
On a related note, I remember years before The Batman was even announced, online discussions about what the character would listen to. There's always been a lot of gothic bands, black metal stuff and I have to admit that at the time it all seemed a bit silly to me. But somehow, Reeves now created a Batman that I can definitely link to a musical current. It's the last thing I expected, but I love it. Probably because it's one of those I've listened to the most ahah.