Remember back when Candy Crush tried to claim legal ownership of the word "candy"? Well now there's this Youtube channel who's trying to do the same with the word "react".
From what I read, the FineBros weren't copyrighting react, but were claiming ownership to the method of how they make their videos. From what I can tell, it's less of a copyright issue, and more of a way to stop people from making videos in the exact way they create theirs, I think.