Archaeological evidence suggests ancient human societies in South America revered foxes to such an extent that they were buried next to them.
Scientists were surprised to find a fox buried in a human grave dating back 1,500 years in Patagonia, Argentina.
They think the most likely explanation is that the fox was a highly valued companion or pet.
DNA analysis shows the animal dined with prehistoric hunter gatherers and was part of the inner circle of the camp.
Source: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7116273/
I did not do a very deep dive but it looks like there were “domesticated” dogs in the Americans prior to Europeans, but they were almost completely replaced by their European counterparts. This leads me to believe the European versions were far superior for the intended usage. If the American version was indeed significantly inferior for their intended purposes, they may have been at or below the effectiveness/usefulness levels of semi-domesticated animals, like foxes.
I don’t think that is a safe conclusion at all, the colonial Europeans were pretty notorious for removing anything or anyone or anything they didn’t see as civilized in the Americas. They also brought disease that wiped out an astounding number of the native people. From an also uninformed view it would be just as likely the native dogs suffered a similar fate, or simply disbanded and roamed free when their companions died.