I have both type gauges so I can argue with people like Mikecr.
The Hornady gauge holds the case just like a chambered full length resized case in the chamber.
It is supported by the bolt face in the rear and the bullet in the throat. And the body and neck of the case never touch the chamber walls. Because the full length die reduces the body diameter .003 to .005 in the average die.
Meaning even if the case body is slightly out of round the body of the case has no guiding effect on bullet alignment. (rat turd in a violin case)