Oh, but let me mention that I also have a double coated Smooth Collie and a single coated Bluetick Coonhound! Hahaha. I may have a hairless dogs but I still have two shedders! We have a Borzoi or two in the plans in the next few years. We'll ALWAYS have a Xolo (or two) but I just love the sighthounds.
I sometimes wonder if the confusion comes from the UKC having the sighthounds and pariahs together. If they were a sighthound the AKC would have them in the hound group. I think confusion also comes from the different build of the American Xolos vs the Mexican Xolos. They build is pretty different. The American Xolos have an almost sighthound build to them where the Mexican Xolos are much more thickly built. My guy is an American XOlo from Mexican stock so he is right in between.
They are certainly fast and have the instincts to give chase and hunt but I think that comes more from the primitive aspect of the breed. They developed mostly on their own in the jungles and the ancient Aztecs used them as food, trackers, hunters, sacrificial guides in the underworld, medicinal healers both alive (hot water bottles for arthritis, muscle cramps, etc) and dead. They were an all purpose dog, really. I've always said that they are so multipurpose you could probably teach one to herd if you wanted to.