Theoretically, that should be the only thing they do, if they survive. Little pets, exotic or not, probably would have been prey pretty quickly and disappeared, but big cats I guess would have been fine. Hairless dogs are usually small, so I don't know how they would survive, although I guess they could have bred before getting eaten. :o
Most of these pets might not be comfortable with leaving their home territory though, and only birds make regular migrations, so if you had an idea for a NPC pet or whatnot, I'd say just make sure there is good reasoning as to how it was born if it's of weird breeding, and also have a relatively justified reason for how it got to where it did, even if it's because another Luperci trapped it and took it, etc.
Keep in mind that if these animals originated in a place where "exotic breeding was common," it's possible many of these animals' natural instincts were bred out of them. They might be bad hunters and fighters, and thus managing to get up north to the 'Souls area might be unlikely to even impossible. Just a thought though!
If the breeding seems a little too exotic, or if anything seems like it might be pushing the limits, definitely just pop the SA a PM with your concerns and ideas and see if they have any qualms with it. :3
I have no guide on all of this, so if I'm wrong anywhere here, feel free to correct me, SA.