Lol I know the battle is already lost.
All five of my cats are rescues. All but one I found as babies. I don't have the heart to ban them from much. Just the baby's room and my sewing tables while I'm using them. Usually my youngest boy sleeps under my table while I work and my middle female sleeps under my machine table while I work.
I know if they turn the table runner into their sleeping spot I will just end up washing it with my weekly laundry to keep the fur balls down lol. Or use my sticky thinger.
The good thing is the table I'm making it for is one they don't sleep on. They use the one with major sunlight access. This one doesn't allow for the sunbathing like my other one.