The power difference will be immeasurable. Exhaust is essentially considered open after the muffler since it normalizes the peak pressure waves. Chryco is right as well, since the exhaust is cooling, the cross section required will decrease for the same exhaust velocity.
Does not make sense, ( to me that is.) You are saying a 2.5 inch dual exhaust will make essentially the same power, whether the tips are 2.5 inches, or 2.25 inches? In that case, are you saying there will be little power loss if you have 2 inch tips on a 2.5 inch dual exhaust, or 1.75 inch tips on a 2.5 inch system. I understand that you want the muffler at the end of the system, cause the exhaust is cooler, so it will create less back pressure, therefore make more power. But whenever you restrict exhaust diameter, anywhere in the system, you have to restrict power.
Look at the above chart. The max flow through a 2.5 inch pipe is about 500 cfm, and is about 400 cfm for a 2.25 inch pipe. That is a big difference. And going from a 2.5 inch dual system to a 2.25 inch dual system causes you to lose max hp potential of about 90 hp.