- The sculptures depict extraterrestrial beings (Erich von Daniken, Ancient Aliens, etc.)
- The sculptures depict immigrants from Atlantis or a lost civilization (Graham Hancock)
- The sculptures depict immigrants from Africa (Afrocentrists)
- The sculptures depict immigrants from China (Gavin Menzies)
“One finds, among these masks that reproduce types of various Indian races with felicity and sometimes with art, strange faces that seem not to belong to America. Among the specimens reproduced in our engraving one may observe a negro with thick lips, flat nose, and woolly hair. One sees, also, a Chinese head, and I possess representative types of the while race, and Japanese masks. One may observe heads with retreating foreheads like the profiles of Palenque, and others with the straight brow of a Grecian profile. They are orthognathous or prognathous, the faces are smooth or bearded; it is an extraordinary mixture that proves how many races must have mingled or succeeded each other on this old continent.” (La anciennes villes du Nouveau Monde, trans. Zelia Nuttall)
So, as we can see, the theory that peoples from all over the world were depicted in Mexican art is exceedingly old, and modern writers are merely emphasizing one aspect or another of this old theory. Never mind, of course, that the clay heads bear the closest resemblance to actual Mexicans rather than imaginary voyagers from continents once thought more worthy of providing a suitably noble prehistory for the New World.