Wool is the textile fibre obtained from sheep and other animals, including cashmere and mohair from goats and angora from rabbits. Wool hats are made from the fleece of sheep, a natural fiber that requires a higher attention to care.
This is not your hat, as Magritte would say.
It's similar, sure, but it's not the same. Because your hat, the one you're buying, will be made expressly for you immediately after your purchase. It will be a unique artwork.
Delivery will take more or less time depending on the creative and development process.