To Robert the o.p., my uncle worked in a nuclear plant and toured us around once. He showed us a cool gizmo that made microscope slide samples by shaving a frozen or solid specimen. Ridiculously thin to shine light through. Glass I think was cleanly snapped making a 90 degree cutting edge that worked beautifully, so you'er onto something about snapping off a fine edge. Undoubtedly you're thinking acute edge like a razor or knife but a chainsaw edge is not far off 90 degrees and definitely gets very sharp if you have a fine touch with a file. Chainsaw files are a compromise between coarse and fine, to get meat off as required but still be capable of leaving a fine edge. A metalworking tip is heavy pressure makes bigger burrs and leaves a coarser edge, so do heavy first as required and then do the final strokes much lighter pressure with the best precision you can muster to avoid rounding any precise edges you just made.
Same applies to grinding, light pressure and avoid heat buildup. Machinists face the same dilemmas on their cutting bits. Blunt looking edge just off 90 degrees but very sharp.
I've got one machinist file that's so fine its only for finishing work. If I start to use it normally I soon realize I'm getting nowhere but am making shiny patches. I use it to polish round items in the drill chuck. Again, light pressure produces the finest edge result or flat finish.
Also don't skimp on new files, and abort to a dremel grind stone the moment you hit a hardened tooth or kiss your file goodbye. Watch for this especially on rakers as they just skid, get hot and mess up their temper. I toasted at least 4 raker files in short order before I just went dremel for all rakers. Quite a long time ago.
And I believe the consensus is Oregon is a bit softer than Stihl and files easier. But dulls quicker.
take care