Translating the millimeter measurements into inches... your slightly tapered cylindrical object's length is about .8-inch and its (crushed) width is about .6-inch. Doing the "Pi" math, the EXTERIOR diameter of the cylinder's end was originally about .4-inch. Since the interior diameter would be even smaller, probably .3-inch or less (about the diameter of a modern wooden pencil), it is too small to be a scabbard tip. You couldn't get a piece of leather to stay in a .3-inch hole. Your mystery-object must have fit onto a thin wooden rod.