Question: Are Shih Tzu and Canaan Dog both breeds that originated in Asia?

Context articles: Marnie (dog)
Chinese Imperial Dog
Gobi (dog)
Zuchon
Mal-shi
Tracheal collapse
Pekingese
Shih-poo
Shih Tzu
Canaan Dog

Marnie is a 15-year-old female Shih Tzu senior rescue dog adopted and owned by Shirley Braha.
 Photos of Marnie have been popular on Instagram and Twitter; as a result, Marnie's Instagram account has over one million Instagram followers and each of the photos have received hundreds of thousands of Instagram likes; Marnie's Twitter account has received over 75,000 followers.
 Braha also posts short videos of Marnie on Vine, which have also garnered significant attention.
The Chinese Imperial Dog is a Toy dog breed with a wrinkly, short-muzzled face, and curled tail.
 Kennel clubs originally classified the breed under the shih-tzu, before recognizing the Imperial as a separate breed.
 Other names for the Chinese Imperial Dog include: Imperial Shih Tzu, Lion Dog, Micro Shih Tzu, Miniature Shih Tzu, Princess-type Shih Tzu, Tiny Teacup Shih Tzu, Tiny Toy Shih Tzu.
Gobi is a small, female border terrier mix dog that began following ultra marathon runner Dion Leonard at the beginning of Stage II of the Gobi Desert Run in China in June 2016.
 Some vets have now told Dion that the dog could be a mix of Shih Tzu, Pug and Chihuahua.
Zuchon or Shichon is a hybrid breed dog or a designer dog.
 It is cross between Bichon Frisé and Shih Tzu.
Mal-shi, also known as Malshi, Malt-tzu, Maltzu, and Malti-zu, are a type of designer dog resulting from a cross between a purebred Maltese and a purebred Shih Tzu.
 Most Mal-shi are F1 crosses, as there has been little interest in developing the dog as a breed.
 They are not recognized by any major kennel club.
Tracheal collapse in dogs is a condition characterized by incomplete formation or weakening of the cartilaginous rings of the trachea resulting in flattening of the trachea.
 It can be congenital or acquired, and extrathoracic or intrathoracic (inside or outside the thoracic cavity).
 Tracheal collapse is a dynamic condition.
 Collapse of the cervical trachea or extrathoracic (in the neck) occurs during inspiration; collapse of the thoracic trachea or intrathoracic (in the chest) occurs during expiration.
 Tracheal collapse is most commonly found in small dog breeds, including the Chihuahua, Pomeranian, Toy Poodle, Shih Tzu, Lhasa Apso, Maltese, Pug, and Yorkshire Terrier.
The Pekingese (also known as the Lion Dog, Peking Lion Dog, Pelchie Dog, or Peke) is an ancient breed of toy dog, originating in China.
 They are called Lion Dogs due to their resemblance to Chinese guardian lions (the Shih Tzu is also known as a Lion Dog in Chinese).
The Shih-poo is a small domestic dog.
 It is a crossbreed between a Poodle and a Shih Tzu.
 The name "Shih-poo" is a portmanteau of the two breed names.
A Shih Tzu (English: ; ), also known as the Chrysanthemum Dog, is a toy dog breed, weighing 10–19 pounds (4.5–8.6kg) when fully grown.
 The exact origins of the breed are unknown, but it is thought to have originated in Tibet and then been developed in China.
Canaan Dog (Hebrew: כלב כנעני‎ ‎ , "Kelev Kna'ani "; Arabic: كلب كنعاني‎ ‎ , "Kaleb Kna'ani ") is a breed of pariah dog and the national dog breed of Israel, having been in existence in the Middle East for thousands of years.
 There are 2,000 to 3,000 Canaan dogs across the world, mostly in Europe and North America.