The more I think about this question, the more I think it becomes impossible to know haha.
The effect the recirculated exhaust gas has on your engine depends on whether that particular gas was the result of a rich or a lean engine cycle...
So, the recirculated gas was from a rich cycle, you would still run another rich cycle due to the extra added fuel but lack of oxygen in the exhaust gas. If it was from a lean cycle, you would run closer to normal, since the exhaust gas would be more representative of normal air.
However, you also have to take into account the fact that your 02 sensor is constantly helping to adjust your mixture based on the same results.
I think it's too complicated to accurately predict, but my best guess is that your mileage should increase after removing it as there will be no more error by your intake system metering exhaust gas as normal air.
I also think the effect would be too small to notice