Concerning polished steels, they are designed to be used on simple steels that roll quite easily and are not exposed to heavy wear. Many modern cutlery steels contain carbides that will readily abrade the surface of the sharpening steel as they are far harder. Thus your "mirror" surface isn't after the first time it is used. AS well the very high strength of the hard high alloy cutlery steels does not lend them to being steeled readily.
Regarding butchers steels, yes they can act as a file under heavy pressure. However on modern cutlery steels they are again not significantly harder than the blades and significantly softer than the carbides they contain so they will not readily file them. They can be used as a burnisher quite readily. You just use light pressure.
As to the effect steels make, they basically squash the edge over to one side and produce a small hook, the extent of which depends on how much force you extert, the angle of the edge and its strength. This is why they will shave so well opposite to the side on which they were burnished. Note this is not a permanent effect so you want to steel before use.
The cutting ability of the edge also degrades with repeated steeling as unless you are using a guide basically every steeling tends to make the edge more obtuse. Note the v-rod setups don't produce a hook but will actually act to align the edge, I have not used them, Catra sells one as does Razor-Edge.
You will get a much stronger and higher performing edge if you polish the edge lightly on CrO loaded leather or fine SiC (5 micron) sandpaper, coarser of course if you want the edge more aggressive, match it to the grit you honed the edge in the first place. You don't need a lot of work, just a couple of passes to remove the weakened steel that has deformed. Steeling before honing however can vastly speed up the process, however it can make the effects not last very long as the steel will relax back to a deformed state.
Steeling does however have many advantages, probably the biggest one being that you can carry a small steel quite readily and thus induce a gain in cutting ability for a short period of time. The Razor-Edge folding steel being an obvious example which I always carry with me, along with a small rectangular carbide burnisher which can actually remove metal if I use one of the corners.
-Cliff