If it’s worth saying once, it’s worth repeating hundreds of times over, cats own everything. It doesn’t matter what an object’s original purpose was, or who it was built for, because according to the cat, it was built for them.
It’s said that cats are also spiritual animals, that they can see spirits and beings that we humans can’t. Which is why, when you think about it, a cat moving into a shrine set up specifically for spirits, doesn’t makes a lot of sense. Because if cats can communicate with the other world, wouldn’t the two of them have a debate over who is the main tenant?