Those Buffer heads have ruined more guns in refinishing attempts than they've ever ended up producing a good polishing job IMO.
It's the polisher and the (soft) polishing wheels of course. But those soft wheels around today are not the style and type needed for what is done in firearms polishing.
There are hard wheels available, but they are generally a solid felt wheel and you can get them in the different grades of felt softness.
Even the hardest is not as hard as the leather covered wooden wheels that were used for the best grade polishing done on the classic firearms we so admire.
Still better than those loose stitched cloth muslin wheels so often used now. Those and the quick glue grit in a tube that is applied to the spinning wheel to charge it.
An unballanced wheel is almost assured with the stuff and a rippled and uneven polish is the least of your problems.
The shear number of old style hard wood leather covered contoured wheels for even one type of frame and their smaller parts (plus figure one each for each specific grit used),,and you can see the number involved for one firearm.
Then there is the talent of hand holding the part and being able run it against the wheel with the correct pressure and then off the wheel so as not to round off edges or dish out flats.
That's why the soft wheel became the aftermarket choice of the gunfinishers. Easy to use, soft glue base contact grit for easy application to the wheel while spinning.
The orig wheels were coated with glue and then rolled in the loose dry grit and left to dry.
Then trimmed while running and balanced for a perfect bounce and chatter free polishing surface. That job was a specialty in itself in the Polishing Room.
In this day and age, a Belt Grinder with room and access to the belt as a slack belt, a hard platten backed belt and also a hard rubber backed belt (the idler roller usualy works well) is a much more useful choice IMO.
But it still requires a lot of practice and patience to learn how to get a fine polish on one.
You can destroy a part or surface with either very quickly if you don't know what you are doing.