@ashleena123I love my Sim cats. What I have found works to keep them from interrupting Sims, at least when they're writing books (the Sims, that is, not the cats), is to queue up "tell story", "praise", and "talk to" interactions (not necessarily in that order) to keep the cats happy and give my Sims some social need fulfillment.
Those interactions don't involve my Sim getting up from the task, and the cat thought bubbles in response are somewhat amusing.
Pets' needs are hidden, but they exist. There are mods that will show you what they are (and I'm tempted, but haven't installed them).
I think it depends on their traits. Friendly, affectionate, loyal, etc. pets seem to have a higher social need. Playful pets have a higher fun need. Etc.
Try playing with an aloof cat and see if that works better.
