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At lower engine loads, you wouldn't likely see any difference, as the turbo is hardly heating up the air when not in boost.
At higher engine loads, you'll get more power, but I don't think this would translate to better efficiency unless you take advantage of the cooler air by increasing ignition timing and/or leaning out the fueling. Without timing or fuel changes, you might actually see a decrease in economy due to higher pumping losses at partial throttle since the air is more dense. There is a reason people use warm air intakes for better economy.
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