It occurred to me that I could hold a knife in one hand, and a stone in the other hand, hold the knife still and move the strop/stone over the edge using the same motion I would use if I was using a file on the edge. I was thinking in terms of a stone like a Sharpmaker stone, or a DMT dia-fold, basically something with a handle or long enough so one end can be held like a handle. A person could make a strop in that same format, for example by gluing a piece of leather to a wooden paint stir-stick. I wonder if this would give a person better fine control over what they were doing as compared to putting the strop/stone on the bench and moving the knife over it.