I can't deploy my mini now (no space till I finish renovation), so just from theory...
Try different mode/values with "Prod. spec. send" LC/MC/C4 VPot action, where there is "+ Center" in the value.
Alternatively you can try to construct MIDI messages directly, using "Logic Control" docs (easy to find in the Internet).
In both cases, for use it such "unusual" way, you will need to map ring value to 12 States Set and then conditionally send MIDI for each value + center/not center. So, instead of just one Action, you will need 24+1 (in addition to the logic which monitor the send presence).