Back in the 1960's I spent a little time in a military arsenal, cleaning light and heavy weapons. On badly fouled bores a bronze bristle brush was used on a rod chucked into an electric drill.
So, the rod was indeed rotating! Results? After 2 or three passes with a dry bronze brush rotating several hundred times per minute, run a solvent-soaked patch through the bore, then a couple of dry patches, and everything was just fine. Muzzle erosion and throat erosion measurements were taken prior to re-issue of the weapons and barrels, and I don't recall any being outside of accepted norms.
This method was used on caliber .50 and 7.62mm machinegun barrels, as well as M14's, M1911-A1's, and .38 revolvers. Some of the MG barrels had been fired several thousands of rounds at range training, etc., and were heavily fouled.
Too much is made of the minor differences in cleaning equipment and techniques. For a top-grade match rifle appropriate care is required. For the typical shooter-grade weapon any reasonable method will give good results and provide many, many thousands of rounds of good service.