Would dog fur make a good stuffing for a pillow?

Dakota, our white German Shepherd sheds constantly and copiously, especially during the summer. After yet another brush session, and looking at the huge pile of dog fur, my husband said we should make pillows out of it. It’s very soft and fine, and I think it would make a great pillow.

What do you think? And how would I go about this? I was thinking of starting by washing the fur in panty hose.

BTW, this is normal for this kind of dog. That’s what our vet said.