it shouldn't as it will only change the firing pin hit by the same......but you can try loading a few rounds with your bullets jammed into the rifling to hold the casehead tight to the bolt and see if you have the same ftf issues.......short of that a headspace gauge and a firing pin protrusion measuring device and rule out the other obvious things....
Trying to diagnose these things is like working up reloads....you really only want to mess with one thing at a time....and the fact that most of your reloads went bang instead of click it is unlikely gun related but at the same time it very well could be.....
try this........in a quiet room dry fire the rifle over and over and see if you can here any difference in the firing pin dropping, EI three load clicks and then a shallow or quiet click......also check to make sure that the bolt handle is not rubbing on the stock causing it to not close all the way with ease.....if these two things pass then it could be brass with to deep a primer pocket, to hard a primer cup, excessive head space(which can be caused by pushing the shoulder to far back on new brass by oversizing if the die/shell holder are slightly out of spec)