I did run bore snake with oil a few times before first firing just to make sure nothing was in the barrel.
when I clean it I will see how dirty it is from only firing this few rounds. I read an artilce somewhere(can't remember where online) before that said to reduce fouling at any time during barrel life......shoot one and clean to remove fouling and repeat until you shoot 1 and you see fouling has been reduced from previous one shots
Like we stated before some have a "ritual" they do. Many match grade barrels don't really require this breaking in like a factory barrel does since they are hand lapped and really high quality