The fleece in that cuddle cup you linked is also not the right kind of fleece that is chin safe, you want polar/arctic/blizzard (it goes by a lot of names) or anti-pill fleece. The stuff they have in that looks like the fake wool fleece material (which is not the same as real fleece). As said even if it was a chin safe type of fleece it's not safe to ingest, it's just less dangerous if they chew a tiny bit (before you notice and can take it away) since it doesn't have threads or long fibers like most other fabric. Also the reason for most people preferring anti-pill fleece is some chins that don't chew on fleece will pull off "pills" of cheaper fleece and eat them :facepalm:, I guess if there is something fun to pull apart that is in the cage they will pull on it, normal fleece is harder to get a grip on with their teeth since it's smooth.
Also there is no way to prevent a chin from chewing on something without taking it away or preventing access to it, chins chew that's what they do, lol.