[lovich]

Might just be me, but I feel like if you have some animal with you that'll kill you or your kids the second it gets a chance that it falls closer towards "prisoner" rather than "pet"

[anthroDominator]

The word prison implies punishment, which is not always a component of domination.

Pet is a more open term, and represents the concept of an enjoyable living possession, retained without enslavement.

Enforcing submission may carry the possibility of punishment, but an equitable game can be achieved, even amid power differential.

Is the animal’s environment engaging and enjoyable, yet perhaps limited? Then congratulations, it’s your pet.