Over cleaning a barrel like you are doing is far more harmful than shooting it.
A lot has changed when it comes to cleaning a rifle, the idea you have to clean this often has long been debunked. The most common approach is to let the rifle tell you when it needs to be cleaned and then proceeding to a clean it when accuracy falls off or fliers appear. Let the rifle dictate the amount of cleaning not some arbitrary number of shots.
How many rounds to replace the good copper you removed is dependent on the rifle. Part of this question is why people do not clean. A fouled bore is more consistent than a recently cleaned one, some rifle might need one or two shots, others might need more.
Over Cleaning can reduce a barrel's life by a significant amount, we have seen guys ruin a 308 around 4000 rounds cleaning every 40 rounds, and here you are at 5. To contrast during the same time frame, cleaning a 308 next to this very same shooter, but every 500 to 1000 rounds our barrel lasted to 12,000 rounds maintaining 1/2 MOA Accuracy until that point.
The chemical you use will chase copper first but when not enough copper is there to be eaten it will start in on stainless steel. Metal is metal to cleaning solvents, it will gladly trade copper for steel, and you are giving it a lot more opportunities to eat. When guys are standing next to a pile of black patches 6" high saying the carbon won't come out they fail to realize that black is stainless steel of their barrel and not actually carbon. Carbon knocks out pretty darn fast, where repeatedly sticking a brush down the bore with anything on it can hurt.
When guys with very little real-world shooting experience talk about cleaning rifles in the military, understand that is a type of punishment. It's a way to keep 600 soldiers or Marines occupied so they won't get into trouble. The guys in the armory are not giving it back to you because it is actually dirty, they give it back because it's not the end of the workday. In STA we would clean them once like normal and sit them on the rack until the end of the day, the results being, they will be accepted the first time vs trying to turn them early where they won't.
Don't be an anal gun cleaner, life will be much better shooting more and cleaning less.