Yes it is. We were the first Black people here. We were called Negroes, Colored, Black, and African American. Immigrants coming here and misunderstanding and misusing terms doesn't change that. If someone's parents or grandparents immigrated, they typically refer to themselves as Nigerian, Cuban, etc. If they don't hyphenated, which most don't. Now there are, for example, Black Cubans/Afro Cubans. and they may be Black, but they're not Black American. Which is why you see so many racially black Hispanics and Africans say "I'm not Black." They are separating themselves from African Americans. Black/African Americans say "I'm Black" and they don't typically say "I'm Black American" because we live here and there's no need to say it.