I don't think the actual draw has anything to do with the amount of sharpnesss imparted to the razor. The linen is slightly abrasive so depending on how many strokes you give it you are actually doing some minor honing. As far as the leather goes some leathers have more draw than others and it may be that moisture affects the amount of draw you are experiencing but don't necessarily associate the draw with an edge getting sharper or more highly polished.