Their hair could be used in crafting recipes
And of course, cats should count as liquids and fit in barrels.
https://www.washingtonpost.com/news/ani ... dc5b2add38
This idea isn't bad either:

Having a farm of goofy, nearly useless animals would be neat. Rabbits are a bit like that already but you can't name them or interact with them much which kills part of the fun.