Question: American Hairless Terrier and Northern Inuit Dog are both different specials of the same animal?

Context paragraphs:
Masters of Illusion (TV series): Masters of Illusion is a magic show broadcast on PAX TV from 2000 to 2001, which was performed on the grand stage at the Magic Castle in Hollywood, California.  The show was revived in 2009 and broadcast on MyNetworkTV.  In 2012, MOI was presented as four different specials and run in syndication.  The show derives its name from the profession's term Master of Illusion.  The series has been revived by The CW with new episodes in 2014, featuring new performers and hosted by Dean Cain.  The CW ordered a second batch of episodes to air in 2015.

Angry Inuk: Angry Inuk is a 2016 Canadian feature-length documentary film written and directed by Alethea Arnaquq-Baril that defends the Inuit seal hunt, arguing the hunt is a vital means for Inuit peoples to sustain themselves.  Subjects in "Angry Inuk" include Arnaquq-Baril herself as well as Aaju Peter, an Inuit seal hunt advocate, lawyer and seal fur clothing designer who depends on the sealskins for her livelihood.  Partially shot in the filmmaker's home community of Iqaluit, as well as Kimmirut and Pangnirtung, where seal hunting is seen as essential for survival, the film follows Peter and other Inuit to Europe in an effort to have the EU Ban on Seal Products overturned.  The film also criticizes NGOs such as Greenpeace and the International Fund for Animal Welfare for championing animal rights while ignoring the needs of vulnerable northern communities who depend on the hunt for their livelihoods.

American Hairless Terrier: The American Hairless Terrier is a rare breed of dog that was derived as a variant of Rat Terrier.  As of January 1, 2004, the United Kennel Club deemed the AHT a separate terrier breed, granting it full UKC recognition.  An intelligent, social and energetic working breed, the American Hairless Terrier is often listed as a potential good breed choice for allergy sufferers.

Abyssinian Sand Terrier: The Abyssinian Sand Terrier or African Hairless Dog is a breed of hairless dog.  It can grow 15.5 to tall and weigh 21 to .  Abyssinian Sand Terriers are hairless except for the skull and towards the end of the tail.  However, some dogs are totally hairless.  They come in bronze, elephant gray, grayish black, black, pale sandy, and mottled.  Their ears are rose shaped.

Rare breed (dog): Rare breed (dog) is any breed of dog that is small in number and is used to refer to both old established breeds such as the Stabyhoun and Glen of Imaal Terrier or newer creations.  Since dogs have greater genetic variability than other domesticated animals the number of possible breeds is vast with new crosses constantly occurring, from these both selected and random crosses may come new breeds should offspring reliably breed true to type.  New breeds from the wild such as the Carolina Dog are quite rare compared to attempts at breed creation from man as found in the American Hairless Terrier which sought to exploit a mutation.

Inuit doll: Inuit dolls are made out of soapstone and bone, materials common to the people of northern Alaska, Greenland and Northern Canada.  Many are clothed with animal fur or skin.  Their clothing articulates the traditional style of dress necessary to survive cold winters, wind, and snow.  Dolls could have been gifts to young Inuit girls, to be used as teaching devices and passing down of culture.  With these dolls, young girls learn various skills necessary for their survival such as skin preparation, cutting & sewing, proper use of materials, designs and significance of symbols in their cultures.  Inuit dolls were enjoyed by both young and old Inuit individuals and give an excellent insight into Inuit culture.

Chiribaya Dog: The Chiribaya Dog (Spanish: "perro Chiribaya" ) or Peruvian shepherd dog ("perro pastor Peruano ") was a pre-Columbian breed of dog from the southwest of Peru, identified by the 42 mummies discovered by anthropologist Sonia Guillén Oneglio in the Ilo District, Moquegua Region, on the south coast of Peru.  It has been established that it was a llama herding dog.  The dogs were not only an important part of the social structure of the ancient Peruvians, but they received special treatment after death as well.  The dog variety has been referred to in various Spanish-language documentaries under different terms, such as "el perro pastor Chribaya" ('the Chiribaya shepherd dog') and "pastor Peruano " ('Peruvian shepherd'), though the ancient Peruvians did not keep sheep.  Its original name is unknown.  (It has been referred to more ambiguously by the term "perro Peruano " or "perro del Perú " ('Peruvian dog', 'dog of Peru'), but this has also been applied to an extant but ancient hairless variety, referred to in more detail as "perro sin pelo del Perú", 'hairless dog of Peru', or the Peruvian hairless dog, a favorite in South American dog shows.)

Teddy Roosevelt Terrier: The Teddy Roosevelt Terrier is a small to medium-sized American hunting terrier.  Lower-set with shorter legs, more muscular, and heavier bone density than its cousin the American Rat Terrier.  There is much diversity in the history of the Teddy Roosevelt Terrier breed and it shares a common early history with the American Rat Terrier, Fox Paulistinha and Tenterfield Terrier.  It is said the Rat Terrier background stems from the terriers or other dogs that were brought over by early English and other working class immigrants.  Since the breed was a farm, hunting and utility dog there was little to no planned breeding other than breeding dogs with agreeable traits to each other in order to produce the desired work ethic in the dog.  It is assumed that the Feist (dog), Bull Terrier, Smooth Fox Terrier, Manchester Terrier, Whippet, Italian Greyhound, the now extinct English White Terrier, Turnspit dog and or Wry Legged Terrier all share in the Teddy Roosevelt Terrier's ancestry.  These early Ratting Terriers were then most likely bred to the Beagle or Beagle cross bred dogs (for increased scenting ability) and other dogs.  Maximizing the influences from these various breeds provides the modern Teddy Roosevelt Terrier with a keen sense of awareness and prey drive, an acute sense of smell and a very high intellect.  Although they tend to be aloof with strangers they are devoted companion dogs with a strong desire to please and be near their owners side at all times.

Northern Inuit Dog: The Northern Inuit Dog is a crossbred dog that originated in the late 1980s, in an attempt to create a domestic dog breed more closely resembling the wolf.  It is currently only recognized by its own independent breed club, but by no other major kennel clubs.  The dog originates from crosses among German Shepherd Dogs, Siberian Huskies, and a variety of Inuit breeds.  Although the original stock is Canadian in origin, the breed was developed in the UK.

Terrier Group: Terrier Group is the name of a breed Group of dogs, used by kennel clubs to classify a defined collection of dog breeds.  In general, a "Terrier Group" includes one particular type of dog, the Terrier, although other types may be included in a kennel club's "Terrier Group".  Most major English-language kennel clubs include a "Terrier Group" although different kennel clubs may not include the same breeds in their "Terrier Group".  The international kennel club association, the Fédération Cynologique Internationale, includes Terriers in Group 3 "Terrier", which is then further broken down into four "Sections" based on the type of terrier and breed history.

Supporting paragraphs: American Hairless Terrier Northern Inuit Dog
Answer: yes