I just want to acknowledge the brass screw method by itself is insufficient to remedy the issue described in the video. He’s describing a barrel that already has a bevel formed but is not uniform, a lopsided bevel I would say. Obviously if one were to go at it with a brass screw, the result would be an irregular bevel that is simply deeper. So he shows how to do a facing cut to remove the bad bevel, at which point the brass screw method could be used to form a new one.
BTW in his particular case, the facing cut could have been skipped, to just spend a little more time grinding with the Dremel wheel. But to use the brass screw method, the starting point needs to be a freshly faced off muzzle. Some guys have succeeded with nothing but a file, a machinist’s square, a keen eye, and patience. Before I had a lathe, I rigged up a support scaffold on my drill press to support the muzzle, then spin it up and gently kiss the surface with an emery wheel. Not as tedious as using a file and a little more precise. Something similar can be accomplished with a hand drill.
For the record, I still prefer to establish the bevel with the brass screw method rather than a HSS or carbide cutter.