<<A categorical proposition is defined as any proposition that can be interpreted as asserting a relation of inclusion or exclusion, complete or partial, between two classes, without a contradiction being applied in terms of the properies of the two classes. For example, the proposition or statement that, “All cats naturally have claws...”, implies anything that is a cat is included among the class of things with claws.>>
- C. D. Johnson
Any cats without claws are definable atypical to the class, but not alien to the class. We do not say cats are not really cats if they don't have claws. That would be what we call a "double-standard".
<<A double standard is the application of different sets of principles for situations that are, in principle, the same. It is often used to describe treatment whereby one group is given more latitude than another. A double standard arises when two or more people, groups, organizations, circumstances, or events are treated differently even though they should be treated the same way. A double standard implies that two things which are the same are measured by different standards.>>
- Wikipedia
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If the Native Americans are not really Americans for the simple fact that before they populated the Americas, another group had already done so, then that means that the other group aren't Native Americans either. It certainly doesn't elevate the position of later European colonizers on the basis that they were just stealing the land from people who stole it before them.
It also means that Europeans aren't natives of Europe, either, given that they populated Europe from Asia. And Asians aren't Asians because they populated Asia from Africa. It's really just entirely Africans assuming land all over the place, including Africans who returned to Africa from Europe to steal land from the other Africans.
This is what we in logic call "implication". Implication is the process by which we apply standards. And standards are rules by which we interpret order or relationships. So, implication, when done correctly, uniformly applies a single standard across all propositions, instead of employing a "double-standard" whereby we have one set of rules for one proposition, but a different set of rules for the other(s).
The best way to avoid a double-standard is to avoid personalizing the propositions. For instance, the whole "Native Americans are not Native" argument stems from a highly personalized proposition developed by white supremacists in the United States, who believe the first colonizers of the Americas, before the Native Americans, were descended from "white men" (Clovis culture), even though 80% of Native Americans share a genetic lineage with those earlier Clovis colonizers.
Not much has been provided by way of evidence showing any clear genetic heritage between Clovis culture and Europeans. It's mostly a modern day mythology invented by those with an agenda in cultural politics.
And as it turns out, even the Clovis culture was not likely the first. Though, the previous immigration of humans to the far west continents occurred before what we call "white people" even existed, as a matter of genetics. "White" being a fabricated term that includes literally dozens of different cultures and genetic lineages propagating in Europe during the last 12,000 years or so (Holocene era).
Still, they must have been "mostly European" (Solutrean hypothesis) and not just people who passed through Europe at one point. Or not.
But therein lies the double-standard. Supposedly, the first white people (not really) were the true "natives" after they immigrated to the Americas, and then died out almost completely. Not the Asian immigrants who came after. One group's immigration is another group's infiltration.
All of this in an attempt to assert that the more modern Europeans who slaughtered 95% of the Native American population in the 18th century were just taking back what already belonged to them. Because they had the genetic deeds to the land that their non-white ancestors left to them. Which the Native Americans were also in possession of. But hey, just not "enough" in position of, according to white supremacist double-standards.
All of this, of course, flies in the face of what the term "Native American" even means. The term is specifically used for those who were already in residence in the Americas upon the arrival of the first European settlers en masse, during a time in which Europe was a thing, politically speaking. It does not mean those who were the first on the continents.
People are constantly asking me why logic is so important. Well, this right here. This is why logic is important. To get at the truth, despite how much people try to distort it as falsehoods in their favor. And many of the most common illogical falsehoods are based on prejudice.