In addition, if I saw an animal with this shag material as their "coat" I wouldn't call it fur*, which the dictionary defines as "the fine, soft, thick, hairy coat of the skin of a mammal." So I would recommend adding "shag" to the descriptionIf you’re going to use the word fur, in this day and age it would be foolhardy not to add “faux” to make it clear that it’s not actual animal fur.
The Wikipedia entry for Flokati gives the impression of being a rug or floor covering, not a quilt:Flokati - that's the word I've been desperately trying to drag from my brain!
Flokati were popular in the 1970s.Considering the word first appeared in English in 1967 it is likely to was invented by modern rug producers.
Gagalis Co. imported flokati from Greece starting in 1970 and sold them as "a new look in casual floor coverings."
Flokati rug - Wikipedia