On 5D3:
Digital Gain is white level control. Does not effect black. Does not effect stdev. Sweet spot is 463 with pushed black/white levels. Relax the contrast (black/white levels), and values down to 461 will still deliver a Gaussian bell curve.
ADTG gain. Not sure. Sweet spot (for ISO 100 and modified Saturate offset) is 1002. You can lower this value much further before affecting white level, but values lower then 1002 effect the bell curve. This one effects stdev.
Black Reference. No Idea. Agreed a1ex, Canon seems to have set this at sweet spot. I haven't been able to find any other values that deliver a bell curve.
B/W offset. Gain, this one shifts the entire signal. Tied to Saturate offset.
Saturate offset is black level control. Does not effect white. Tied to B/W offset.
Both offsets can deliver a Gaussian bell curve at different levels. Note here where I've changed black level with Saturate offset (fixed white level).

And here where I have shifted the signal with B/W offset.

There are sure to be other points for both controls where the histogram retains it's bell curve.
Note how stdev remains within shot to shot variation for all examples.
With Saturate offset at the minimum value (118) that still produces a bell curve (black level 574), I can push B/W offset to produce black levels 999 and 2048, matching the levels where saturate offset produced a bell curve with fixed white point, even with white point pushed way past 16383.
CMOS/ADTG gains are clearly analog, they effect noise.
Digital gain, B/W offset and Saturate offset seem to be digital level controls. Probably only subject to quantisation errors. They also clearly have defined points where they work well together (produce bell curve), and Digital Gain seems to only have 1 sweet spot (subject to contrast).
Suggested settings.

These produce maximum contrast and Dynamic range, with white level recorded at nearly 14bits. White level does not change with ISO. At higher white levels, high ISOs will push the WL even further.
Left to confirm.
What programs, if any, respect high white levels. They should, what's the point in having 14 bits when you don't use them all

ADTG gain needs to be adjusted on a per ISO basis, find correct values.