The Aztecs had no written language equivalent to what we’re using here, and instead used ideographs. They did, however, record history cartographically!
Either way, it's a terrible definition. As an archaeologist, I use "prehistoric" to describe really old fossilized crap. Anything newer is historic.
My understanding - which may be wrong - is that it's at the level of much older high civilization. And I think that makes them "feel" as old as those civilizations, because we know so little.
I'm not sure the Aztecs were that technologically behind. The main reason they and all the other New World peoples lost was their less robust immune system. Typically, 80-90% of the population died of European diseases as soon as - or often even before - the Europeans arrived.
This was 300 years before germ theory, so no one on either side knew what was happening.