I bought the gauge at your link and was not impressed so I bought pin gauges to check the primer pockets. The problem with the gauge at your link is it only checks for max diameter of the primer pocket. Meaning if the gauge fits into the primer pocket the primers will be a loose fit.
I bought pin gauges .0005 smaller than the primers I was using and then used a Lee depriming tool if the primer felt loose during seating.
Below if the primer moves with just finger pressure the case went in the scrap bucket.
One problem you will find is there is a plus-minus tolerance for primer pocket diameter in manufacture and the same applies to the primers.
NOTE, I was given three five gallon buckets of once fired .223/5.56 brass consisting of Lake City, Remington and Federal. After sizing and prepping the Federal cases, many of the cases had oversized primer pockets. These cases were only fired once and had loose primer pockets and I found out why below.
The hardness of the brass and the thickness of the flash hole web determines how long the primer pocket will last.
Below is what happens if you have loose primer pockets on a AR15 rifle.
Bottom line, brass is a expandable item and not worth a scored etched bolt face.