Many of my pets names have come from songs. Currently I have two dogs, one named for the beer league (adult recreational league) ice hockey team I played with when I got him, Bandit. The other is named Katie Mae, from the lightnin’ Hopkins song of the same name. “Katie Mae is a good girl, she don’t run around at night”. I mean you don’t want your dog running around at night. “She walks, she walks, she walks like her daddy’s got oil wells in her back yard”.
This was after his first full day at home. As for the peke, I have not seen any behavior or physical trait that could connect to a peke. One of his brothers had a peke colored longer haired coat. His eyes may be shih tzu eyes. Other than that, he is basically a JRT in a collie sized body.
They count if you want them to count. I counted Bat-dog's german shorthair because I like them and she had enough breeds that showed up in different ways, it wasn't worthwhile ignoring this one. I tend to skip Tornado-dog's peke and shih tzu because they don't really fit in with his "Giant JRT" label.