Imho those terms make more sense.
Even those definitions need nuance and context. Original people and such is questionable.
Does one consider Pre-Clovis perhaps the originals? Clovis? The Western Hemisphere was developed through many different waves of migration.
Just as Europe was migrated from different waves of influence. Though who is considered 'original' in the context of Europe?
It really is a bizarre discussion, pushed by interest groups to secure their own designated degree of being 'special'.