In comparison to Anasazi Pottery, Egyptian and Greek pottery each went through a archaic phase akin to Anasazi.
There are Iranian and mid eastern pots indistinguishable from those in New Mexico.
Here's a great Anasazi plate in New Orleans Museum.
Then of course Greek Black and Red figure--
Maybe the Indians just didn't have time to develop, although look at this Aztec or Mayan pot. From Denver Museum.
I tend to think it is a development our minds go through as consciousness develops.