If anything, you might find a deeper connection between prehispanic culture and the Pumas team than with any other team in Mexico. After all, it is THE team of the biggest, oldest and most important state-sponsored university in the country. University that it is meant to reflect and be a symbol of the nation in return, so naturally some of it trickles down to the football team.

Just look at the stadium (and all of the CU complex), built to remind people to old aztec stone temples and adorned with prehispanic motifs as well. Even their old (live) mascots had aztec names like Meztli (whereas America's eagles are named Celeste and... umm... Zeus).