The only thing I can find is talking about checking the ECU with a "DOL" to get an actual code readout like P0103 or such.
In a photo that shows the location of the ECU on the C5 (its in one of the triangular side pods) the picture seems to show a number of yellow things that look rather like the hook up for an OBD II . I can't really tell if an OBD reader will hook up to this or not.
As I'm sure you know, an OBD II reader has the ability to clear the stored error codes in your car. I wonder if it could connect to the bikes ECU and clear it the same way?
Then again, maybe only the Enfield service departments have the right "DOL" to hook up to the bikes computer?
There may be a chance of really screwing things up if a standard OBD II reader isn't compatible with the bikes computer.
added The service manual says the computer used the engine oil temperature to determine the richness for the injector.
If it isn't getting a temp reading it is pre-set to use the cold engine ratios so I would think running the bike with the computer set for a rich mixture would, at worst, just foul you plug a bit and reduce your fuel mileage.