Checking the Pulley

I checked the roundness of the pulley by sighting cross axis and watching the profile relative to an object further behind. Any movement indicates there is a problem. I use two methods to confirm that it is the pulley and not me being unsteady. The first is to rotate the shaft slowly while watching the profile to see if it wanders. The second is to spin the shaft quickly and note the sharpness of the edge. If the edge becomes fuzzy that means the profile is not staying in the same spot.