In 2009 I started tinkering with HD681. I did not have a measurement fixture then though.
I made a passive filter that removes the treble peak (by ear).
Back then I joined
Rock Grotto.
Since then this hobby evolved a bit.
Later, when I made a test fixture, I found out the filter made by ear was not far off from the one based on my fixture.
In those days the HD681B and F did not exist yet.
These HD681 were € 15.- and forum members asked me for modified HD681 (filter + K240 pads).
In 2010 and 2011 I bought quite a few locally and started modifying them.
I noticed some had audible less bass (on direct comparison)
By that time I contacted Superlux and got in contact with them.
They were just entering the market with headphones and were interested in my findings and about the difference in tonal balance.
I figure, given the price, they just produced those headphones, maybe checked if sound came out and sold them.
I had been in contact with someone from development since and got quite a few prototypes over the years for testing and improvements/evaluation.
I mentioned the audible differences in bass and that it might be production spread thing in the drivers.
This was denied of course.
Low and behold a year later there were 3 versions of HD681 with the only difference in bass output.
I suspect they found the same as I did and (speculation on my part) decided not to make the HD681 a lottery but select drivers and put them in models with different amounts of bass.
Below the differences. These differences look very similar to what happens if you damp the rear of a driver a bit with extra foam.
Yet, when these models are opened up the drivers do not appear to have a different driver damping.
Drivers selected in 3 tiers or developed ?
Superlux never answered that question. They just stated they decided to make 3 versions.
So above the different models compared.
How these measurements were obtained I never got an answer to.
Below a plot made by Superlux where they compare the HD668B with DT990
And as presentation is everything below my measurements of HD668B vs DT990 and presented in a similar style.
Extrapolating from that it could be somewhat safe to say that the differences in the HD681 plot from Superlux could be representative.
Back then when I found the differences in bass levels/tonal balance I did not have a fixture yet so only anecdotal (by direct comparison with my own HD681) but the differences in bass (tonal balance) matched the spread we see in the Superlux plots. Of course, nothing scientific here, just my subjective findings back in those days.
Note I could never find the bass extension Superlux claimed in their plots below 40Hz.
Below HD681 (stock) vs HD668B on the same fixture.
There is a clear 'driver family' resemblance between these Superlux headphones.