Can Caribbean culture be put under the Black British Umbrella?

I know this is a Caribbean sub, and i’m sorry if i’m offending anyone by asking this. But I saw a post in r/ukdrill where someone essentially asked if Black British Culture is a real thing.

My point was that Caribbean culture isn’t exclusively black and doesn’t only come from black people. And I said that our culture can’t be labelled black and shouldn’t be claimed by other groups of Black people and the replies crucified me. Am I wrong? I wanted to get opinions from actual Caribbean people.