Trump is not a native either, his family is German and Scottish (just checked). So far as I know a native has never held the presidency in the US.

What silly political posturing. Native-born is the specific reference, and a perfectly valid one. By your logic, if the current descendants of people who have been here for many centuries by now aren't natives, than vast parts of the world's population are also not natives of the places where their families have lived for centuries.

Why not go further and say that the "natives" also aren't natives since they also migrated to the Americas over the Bering land bridge?