I can't answer the OP's question, but I would guess that bringing pets to Teaching Drum would cause too many difficulties.
About the more general discussion, though, while I would call the animals I live with "pets" for lack of a more convenient term, to me that word implies the exact same relationship I have with my husband (for the most part, anyway) - they are fellow animals that I live in the same house with, and share my life with. They have been domesticated to a certain extent, which sucks, but at the same time dogs and cats (especially dogs) have adapted to living with humans over thousands of years.
I really don't agree with the genetic deformities that humans have bred into dogs (and still breed for), and the defects that plague "purebreds", but otherwise I still feel that they have kept their wild nature - which is exactly why so many dogs exhibit neurotic behaviors, trying to live in our modern machine world.
On their own dogs would freely choose to live around humans, eating our scraps - but they wouldn't have to deal with confinement, leashes, a totally man-made and mechanized environment, constant exposure to strange humans and strange dogs, and stupid domesticated humans who don't understand the first thing about animals. And they would grow up well-socialized by interacting with their dog pack from the get-go.
My pack-mates constantly teach me things about rewilding, notwithstanding our modern way of life.