Yes, but paper on top of a constant open electrical heat source for a fur bearing pet? Am I reading the suggestion correctly?
I guess I understand the minimum heat source you are talking about. It would be like a candle/mug warmer. However, I would still not put paper on that and have an animal sit on it as friction, pressure, and weight condense the heat molecule structure. To my mind's eye that equals an active (eternal/open) heat source to build up force against a flammable paper (wood) source to an occupant who is covered in fur.
What about using battery powered heating gloves, mits, scarf? The heat is generated from a closed, insulated heat source. Or, those break and shake heat packs under a blanket? Or, shredded newspaper covered by a piece of plank of wood and a blanket for nesting? Or, an insulated old coat from a Salvation Army? What about a small dog house with a used pet bed?