I found this comment rather funny, because if CGP Grey is correct [0] the preferred term by American Indians is "American Indian", NOT "Native American". So you're claiming knowledge of the general opinion of a group, while not using the group's preferred name for themselves.
This is one of those things you can find out for yourself: go to a pow-wow (non-native visitors are typically very welcome) and ask the people there how they usually refer to themselves.