It really seems rather academic. Diff noise is due to either bad components or bad assembly.
I really doubt that bad components are being used as modern manufacturing processes become much more accurate as time goes on.
That leaves bad assembly processes.
wrong pinion depth
wrong backlash
wrong bearing preloads.
When CC was buying unopened Ford assemblies, everything was quiet and smooth. Occasionally a noisy diff was discovered, but usually it had had an aftermarket carrier(LSD) or a ratio change. Again, bad assembly techniques where probably the culprit.
Are the new diffs being assembled with the proper tools?
Ford provides no actual dimensional information for pinion depth in the Sierra diff rebuild manual. Special gauges are used to determine pinion depth. (Ford 15-019 and Ford 15-075) If the assembler does not have access to these tools(or their equivalent measurements), I can't see the diff ever being assembled correctly in a reasonable amount of time. You can go through a long process of patterning the tooth contact patches, but it becomes uneconomical and time consuming if you don't have the proper starting point of pinion depth.
I've spent a good amount of time sorting problematic front loading 9" Ford diffs for mates changing ratios and/or carriers. Almost always the diff could be saved with proper assembly. BTW...Pinion depth was the most common error I discovered.
Of course, you can always fill the diff housing with sawdust. It quiets them down real good! 😬
-Bob
94 HPC VX Evo III