Many hairless people actually have a lot of body hair. Unsurprisingly, most people are unprepared for how hairy a bald person can be, and this can be a problem for allergy sufferers. These dogs are not hypoallergenic; they just shed low compared to other breeds – but they still shed more than you think bald dog. And even Naked has a noticeable coat on its head, legs, and tail. Some allergy sufferers are fine with the hairless variety, while others hate it.