They have some of the flavor stylistically of the very early best work of Spiro Mounds shell carvings depicting warriors - they did three quarter views and were able to impart motion in the way they arranged things as well, not stiff like the Egyptians. Of course that was before they started doing drugs. At least it looks like they did because at one point their artwork went to hell in a handbasket and lost all detail and organization.
Back to these hides, o keen observer- possibly they are a blend of both worlds :
Apparently the priest who obtained them shipped them to Switzerland in 1758...
“Some scholars believe the hide paintings were created in New Mexico, where imported canvas was rare and processed hides were commonly used for reposteros, or hide paintings, that were exported to Mexico. Because the paintings show several distinct styles, some scholars think as many as three artists painted various details—likely indigenous New Mexicans with tribal affiliations who had the benefit of eyewitness descriptions and were taught European painting techniques. Other scholars believe that the paintings were produced in workshops in Santa Fe by Spanish craftsmen who were descendants of participants in the battle.”-—http://media.museumofnewmexico.org/press_releases.php?action=detail&releaseID=20
Preparing a parchment with that quality and the ability to retain it over time without degradation is, in and of itself, an art, and what I would assume at the time of these paintings, a pretty strictly old world skill.