I’m sorry but it’s inherently impossible to make a song about how you don’t care about the haters without sounding bothered. You just can’t do it, stop trying
I mean, I don’t think Cleveland! is meant to be this “I’m unbothered” song. Its thesis is, “Here’s all the things you say about me, but I still have someone who loves me and I’m happy so fuck you all.” She can find the hate bothersome and still express this sentiment.
shake it off is definitely the closest she’s come to making a truly successful “unbothered by the haters” song but it’s only really good at sounding unbothered because it’s so vague the more specific the song gets the more bothered she seems by the situation
Piece of Me - Britney Spears
Obsessed - Mariah Carey
Bow Down - Beyonce
Dirt Off Your Shoulder - Jay Z
Survivor - Destiny’s Child
Not Like Us - Kendrick Lamar
Gives You Hell - The All-American Rejects
And many more….
halsey did a very good example of this on "Nightmare" where she fully leans into the being bothered aspect of it all. "i'm tired and angry, but somebody should be."