I embroidered names on each piece of these for that very reason. One goes to a private Christian school with 11 kids in his class. I think we're pretty safe there. The other is in a public preschool with a room full. We'll see how that works out.
My daughter had a Quillow when she was a high school drill team member. She loved it on the bus. I didn't even think of those when I started these, but still think that would have been too thick for easy stuffing in a back pack.