I know for a fact that if the system is computer controlled, and the system does not use the O2 sensor in a dynamic fashion (real-time AFR modulation) there will be no increase in fuel ECONOMY.
The ECU must have the ability to remap itself, or that becomes the job of the owner/technician and will require some skills in that area to assure the greatest increases in all areas.
There WILL be an increase in power and a reduction in emissions, as I have found by modding two Harley's. Both had an O2, but it was not equipped with adaptive memory and so there was no mileage increase. In fact, the owners noted a slight decrease in mileage.
I still no not have a full understanding of these systems and those in the shops around me being unwilling to share such information I have not had the opportunity to research them further. So, I am REALLY grateful for this post!
Thank you, Prescott!