To me as a European who never went to America and living in a country where 95% of people are caucasian, race never mattered nearly as much as ethnicity did, because a Norwegian and Irish or Portuguese and Turkish person can stand next to each other and they might physically look similar, with even the same skin pigment, but they have almost nothing in common in regards to their history, culture, language, origins, traditions and so on.
In America it’s the other way round and race will always be more important than anything, to such an extreme extent, that an average person has no idea what the words Hausa, Orawa or Yoruba mean, even though they are the largest African ethnicities (after Arabs) with around 80, 42 and 40 million people respectively. There are also tens of millions of Hausa, Orawa, Yoruba, Igbo and other people in America, some of your favorite actors, singers, writters, scientists, sportists and so on are among them, but you will never know because they are just reffered to as Afroamericans with little to no respect to their actual ethnicities. Even the wiki article about Afroamericans doesn’t mention Hausa or Igbo people at any point, except all the way in the bottom in the footnotes which no one reads.
It’s not even just about respecting ethnic and cultural diversities (I mean, imagine calling pizza, egg benedict or croissants all together as simply “caucasian cuisine”), but it’s also about delegating responsibility for past events properly.
Whether it’s a 90’s show like Fresh prince of Bell Air or a modern like Brooklyn nine nine, there is always a segment in which “caucasians” without specifying ethnicities are guilty for everything, meanwhile, in those same shows, the specific ethnicity or country that did the absolute worst against Afroamericans is always glorified for their posh accent, manners, tea time, royal dynasty, but the elephant in the room is always completely ignored. Imagine you are a Romanian or Bulgarian in America, you are the second or third generation and yet you are by default presented in the same way as others sharing your skin color who lived there for centuries and whose ancestors took direct part in discrimination, segregation and even slavery.
That is why ethnicity matters far more than simple colors, otherwise we could do the same approach and delegate the responsibility for Pearl Harbour on Laotians, Vietnamese, Cambodians and so on, which would obviously make no sense.