Thanks to all for your inputs.
It's definitely not a sin/cos pot - I have one that tested unsuccessfully. That was my original theory before diving in this deep.
The RDC80 that duak linked may be what I'm looking for (image below). Based on the tolerances shown in the PDF (+/- 3%) it would explain my unsuccessful attempts to generate anything meaningful by manually adjustment of two regular pots.
Current thought is to replicate the output of the RDC80 with a digital potentiometer for greater accuracy.