According to a very well known (in Canada) long range rifle shooter I have had conversations with, he said their rifle team did this and it kept the rifles ability to shoot well before foulings - in other words - you could shoot a match of 50-100 rds without needing to clean the rifle until you were done.
Shoot 1 shot and clean, shoot 2 shots and clean, 5 shout and clean, 10 shots and clean, 20 shots and clean.
You should now have broken in the rifle well enough. You will know when you clean it
By "clean" it means - run 2 wet solvent patches then follow up with a copper cutter solvent, then a dry patch to get the solvent out.
Personally I would never run a brass brush down any rifle or pistol. Just wet and dry patches