I would say tool but not in the sense that work is accomplished
Could be decorative when not in use
Not a utensil something made for eating or doing something with it
Where in the house any where you would have a need to use this
8-10 inches long not hollow some could be made of a variety of materials
Wood plastic metal etc.
Not sure I understand why businesses would have this item, when you have now said that it would be used mainly in the bathroom/bedroom. Is this a little bit of a red herring?, you have also said it is not a brush, so not a hairbrush, toothbrush, etc.
Is the whole item (including the 4 inch bit) made in one piece of the same material?