Very well put, Chet -
The trick behind burnishing is that instead of removing material, the surface is actually polished (or perhaps smeared?) into smoothness. Think of damp clay. If not dead flat, little bumps (like on a pickle) will prevent ultimate smoothness. Sandpaper or other abrasives would remove material much like a knife cutting the bumps off. Unfortunately, it also removes more material from the surrounding surface as well.
Burnishing is like taking a round rolling pin to the damp clay pickle bumps and pushing them down, or smearing them flat.
When I "whisker" a stock, I apply a little mosture. A damp rag or a light steaming from a kettle tends to make the whiskers of cut wood rise up. One can then sand or scrape them off. Scraping provides a smoother finish, and is more "old-timey" IMHO. Some builders use "broken glass" scrapers,
some like steel scrapers.
When Carding a rust-browned barrel (as Chet described it), one can use an abrasive like a file card or very short wire brush or steel wool to stroke the heavy rust chunks off whilst leaving the brown colored steel behind.
At least, that describes my pitiful understanding of it LOL!
best
shunka