I don’t think my cats would care for this situation, either. We like our arachnid companions, because they eat insects.
Now that I am older, I find spiders...interesting, but...if they crawl on me, I kill them with prejudice. Or if it is above my head over my bed...I kill it. My mouth is much too much like a big black hole when I snore. I am sure it would be inviting to a spider.