Thanks a lot!
This was a real head-scratcher. The Allen & Heath scale worked fine. I adjusted it so I can insert user volume limits:
(fader value in dB + userMin) / (userMax + userMin) * 127
But I wanted to have it logarithmically like the Avid's old Command 8 controller collecting dust at work. So I tried your suggestion of reverse engineering it. I took a couple of measurements and found this:

It looks fine, but when I tested some dB values, I didn't get the correct corresponding velocities. Then I used Pro Tools to read of the dB values to get more data and more accurate data points. (Then I'm really mapping Pro Tools and not the device anymore I guess. Also, PT 2018 didn't match well with the dB-labelling on the Command8 from 2006?).
And look! Four linear scales stitched together to make one pseudo-logarithmical scale.
This has a +12dB -90dB range. If I use this on the default volume limits in Qlab 4. (+12/-60), then -60dB would be velocity 9 not 0. It would be nice to combine this pseudo-logarithmical scale with user volume limits. Can the volume limits be accessed in Applescript? Maybe the easiest way would to "shrink" each segment of my pseudo scale to match Qlab's default setting?
Steffen