NO! The bags can open and then you would have another problem lurking. Also the bags are plastic. I like the IKEA zippered storage bags or a plain 'ol pillowcase for storage.
One of my friends purposely makes a pillowcase esp for each quilt using materials either in the quilt or coordinating with the quilt. She has made several wall hangings and has those in the appropriate holiday themed fabric so she can easily get out what she wants.
ali