From reading the service manual, it looks like the exhaust control valve control unit only monitors the throttle position and rpms from the ECU. I don't see anything in the DTC code index that suggests that the function of the valve is actually monitored. I even looked through the troubleshooting for the O2 sensors, and I don't see any possible cause for a fault being an inoperative exhaust control valve.
So I feel fairly confident that you can delete it - but I think the only way you'll know for sure is to try it. Since you posted pictures, I assume you have access to the service manual? If not, you can download it at
www.nicoclub.com/FSM/
Please keep us posted on this... I think I saw a similar question on the M forum or G forum... can't remember which.
Heath