The sims 4 Cottage Living Negativity thread.

"Gordy;c-17906750" wrote:
The bunny thing's got me so disappointed. I wouldn't want it locked in a cage like rodents, but I'd love for it to actually feel like a pet and part of the family. A wild animal visitor just isn't the same. Give it a hutch to stay in, and let us keep it bound indoors or in a garden.

From the answers Romeo gave on Twitter, I think it's somewhere in the middle. You can name it, you can dress it (he confirmed no autonomous animal clothing), and based on the trailer it's at least somewhat interactable.

I assume the tree stump the bunny disappears into in the trailer is its home, which you can place outdoors on your lot as a "home base" for it to come in and out of. I don't know why they didn't just create a rabbithole hutch that acts the same as the stump, but with an additional "purchase pet" interaction on it.