While I don't have that particular scarf, I do often tie a scarf on a bag. Square ones can be folded to be worn around the neck, around the waist (if they are big enough), on a ponytail (smaller squares work better for this) or on a bag (a small one, tied just in a knot). I think a scarf accents a plainer bag and can pull it into an outfit.
The ponytail or oblong scarves can be worn in a small boy on a bag and can be worn around the waist or in the hair (ponytail or headband).
Overall, I really like scarves! They are fun, and it is easier for me to do something in a bright color with a scarf than in a piece of clothing (less expensive, less commitment!).