Soft fitting and Hard fitting when speaking of production of most European firearms of good quality meant that the (Soft fitting) was done to assemble parts with the metal being in the un-heat-treated state.
Hard fitting was then done again and if needed once the parts had been HT'd. During the HT process the parts would be subject to distortion at times and would need to be 'adjusted' by skilled assemblers to once again fit smoothly together.
This was common up to WW2 and perhaps after until more modern methods of HT and better steel alloys were avilable.
The Luger and Mauser handguns were well noted for their Soft & Hard fitting procedures.
Is that the same use of the terms as S&W used , I don't know. But generally in the industry Soft fit is something done to 'In the White' & un Heat-Treated parts.
There were many jigs and gauges used during soft fitting. The part specific jig/gauge would have hardened ways so the fitter could hand file accross the area of the part needed fitting and keep the area absolutely square. The part could be raised within the jig by 10/.000" at a time by simple thumb screws.
There were many inside corners cuts on the parts that needed to be squared out. A round mill cutter can't do that. So the Soft Fitter finished the job on each using a jig/gauge set up for each.
A Shaper machine set up was undoubtedly used on others that were a blind bottom sq corner.
Once the gun fit together and functioned smoothly, it was taken apart and any HT, final polishing, then bluing/plating were done.
Then back to final assembly.
IF there was any re-fitting to be done at this point,,it was termed Hard Fitting.
Hard Fitting should never be extensive or require any major dimensional changes to the parts to make them fit.
Simple fit gauge and jig fixture were used at Marlin during final assembly of the 336 & 444 cal series rifles when I was there (early 70's).
I would have called the following a Hard Fitting as it was done during final assembly of the rifle.
-Fitting breech bolt, locking bolt & checking headspace on rifle,,
With the brand new parts in place it usually needed to close a few .000 more.
-Remove locking bolt from rifle being assembled and place in jig and adj so that a prescribed amt of mtrl will be removed from the locking surface. The assemblers knew how much to adj the jig for by experience.
-Lock the jig and with a fine-cut mill file,,the locking surface was squarely trimmed down that amt.
Remove locking bolt from jig and reassemble into the rifle,,chk HS again.
If needs more,,repeat.
If it checks out OK,,you're done with that part of the assembly.
oops,,went too far!,,pull the locking bolt out and refit another.
You were on piece work, so the clock was ticking on you. The cost of the small block of steel that was the locking block meant nothing.
Then there was the assembler that decided he didn't need to use the jig and could trim them 'by eye'.
That's another story.
The fixtures & Jigs probably not used anymore with the ultra precision specs that the parts can be made.
Now they pull the cutters (drills, reamers, mill cutters, etc) from the machines after a pre-determined time. Usually figured on how many ft of metal they have cut.
They may look perfectly good, but they get replaced anyway. That is a way of trying to defeat the staked tolerance problem where parts need a lot of fitting.
Hand fitting is Very Expensive and something industries want to avoid.