I think you are mis-understanding me. If you have closed loop injection, then the m/c is equipt with an oxygen sensor that samples the exhaust. If you attach one of these boxes to such a system and then enrichen the mixture, the o2 sensor will tell the ecu that it is running too rich and lean the mixture back to where it was before. However, in the case of the fjr the system only uses input from the o2 sensor under certain conditions like idle and cruise. So if you used on of these boxes you would only see a difference under conditions where the ecu does not use the information from the o2 sensor like acceleration for example.
For these to work on closed loop injection system, and this goes for dobeck and power commander alike, the oxygen sensor will have to be bypassed and I wouldn't reccomend that.