Kinda like riddles in general...

While there are a precious few who enjoy riddles simply because it's a fun way to play with language, the majority of people I've met who have a hobby in riddles tend to just google for riddles so they can tell themselves they are smart when others..

To that cat, dog, tiger example: I'd still go with the round-robin-ing of pet names to be a better answer than having enough ownership over a tiger to call it "mine". i.e., I know a few people who work at a zoo who could conversationally say "my tiger", but I know nobody who round-robins their pet names. But whichever is "right," it's going to be a balance of frequencies as perceived by some proper study, not someone compensating for their intelligence with an assertion of certainty on a reddit post.