IMO (and I sure wish this stuff were more definitvely, uhm...defined so it weren`t a matter of *opinions*! Not like this in other fields...), "abrasion" and "burnishing" are only differentiated in the sense of *degree*, as burnishing is merely a very, *VERY* light form of abrasion.
Burnishing is done with extremely gentle abrasives, to improve the appearance of a surface that`s already sufficiently polished as to not show any flaws, not even micromarring. It`s "taking `perfect` one step farther". So for a "burnishing product" I`d reach for the mildest product I have that`ll still be functionally abrasive *to the paint in question*. I.e., a very gentle Finishing Polish.
So rather than categorizing between Abrasion and Burnishing, I`d broaden it to (most-to-least aggressive): Wetsanding; Compounding; Polishing; Burnishing. But I do recognize that "Polishing" is another of those terms that`s as broad/narrow as the speaker wants it to be, since there`s no, uhm...definitive definition.
Ketch- I appreciate your use of "Burnish" rather than "Jewel" as the latter has a rather specific definition with regard to Metal Finishing, one that has nothing to do with this Detaling stuff.