Upvoted for the opinion being unpopular.

Cats don't belong outside. They will kill local wildlife and have contributed to the extinction of dozens of species.

I don't think fish care either way as long as they get the space and care they need. That is, a tiny pond outside isn't any better than a tank of the same volume indoors, all other things being equal.

Rodents definitely belong inside, if having a rodent as a pet is allowed at all in this scenario. I feel like this doesn't require further explanation.

I could see rabbits liking being outside, as long as they're adequately protected from predators. They do well inside, too. I'd call this one 50:50.

If reptiles and amphibians should be kept as pets at all, indoors is way better.

I imagine almost all invertebrate pets would have to be indoors.

Pets that are livestock species go outside, yeah. No argument here.

Some animals shouldn't be pets at all. Some belong inside. Some belong outside. Some go in and out. It's a mixed bag.