I have a concentricity gauge, but I still do this out of habit.
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If your Savage bolt gun is a basic 110 action off the shelf gun, you are probably getting pretty close to the accuracy limits of the gun at 0.5 to 0.8 MOA frankly.
You may wish to spend some time on rifle accurizing basics too. Action to stock fit, verify that the barrel is free floated, experiment with a bit of barrel tension, etc.
You also may want trim the excess material from the flash hole inside the case. The flash hole is punched during manufacture and this material can remain in the case causing a shadow during ignition. I bought a thousand of the LC brass that Midway had on sale and found about 1 in 10 had significant material inside.
I should also mention that the material left inside from manufacturing the flash hole will effect case volume, which in turn effects pressure, velocity etc.