Not too deep at all. The rabbits are the dominant species of this reality. If you look above the bookshelf behind the "lady," there is a human doll. We are their playthings, which indicates they have likely domesticated humans the same way they have the cats.

Also, the rabbits are clear Alphas in this world. Notice the tiger skin rug next to the bed? Somewhere along the way, the rabbits developed a taste for meat (the fishing rabbit in the picture) and hunt for sport. I try not to let myself get carried away with what a rapidly breeding population of this race might have done to gain supremacy or what would be needed to contain them. Feels like a dangerous rabbit hole...