Also, LS, did you notice Canis Lupus on there? Grey wolves are on the list of "controlled." Doesn't that mean you can't own them? Maybe I misunderstood...
It lists the family Canidae, but excludes native wolf species. (Along with a heck of a lot of other canid species):
Family Canidae – [such as dingos, jackals and raccoon-dogs] except: Alopex lagopus – [arctic fox]
Canis latrans – [coyote] that are native species
Canis lupus – [wolf] that are native species
Canis lupus familiarus – [domestic dog]
Urocyon cinereoargenteus – [grey fox]
Vulpes macrotis – [kit fox]
Vulpes vulpes – [red fox]
Odd, for sure. It also seems that many fox species are considered common pets these days.