I don't bother any more. But I am confident Savage factory barrels tend to shoot better after 100-200 rounds, no matter how you clean the barrel between shots.

Also, they have a reputation for not needing heavy cleaning. Don't be too concerned about copper fouling. It seems copper fouling tends to fill some of the imperfections. Just shoot it, pay attention to how it performs and round count, and clean when accuracy falls off. You might find light cleaning to remove/prevent carbon build up around 50-100 shot intervals will be all you need.