I have both gauges below and they hold and rotate the case in different ways. And the Hornady gauge care how much coffee you drink and how much your hand shakes.
For simplicity sake the Hornady gauge holds the case like a full length size case would be held in the chamber. Meaning the rear of the case held in the recessed bolt face and by the bullet in the throat, and the body of the case not touching the chamber walls.
With gauges that spin on the case body and if the case body is egg shaped you will have more indicated runout. I think of these type gauges better for neck sized cases where the case body can have a effect on bullet alignment. Meaning if you have unequal case wall thickness the case can bulge on the thin side and become egg shaped.
Bottom line, practice finger Yoga until your spinning finger reaches Zen and then you will have a total state of rotational enlightenment.