I suppose that indirectly the throttle controls the power output by regulating the air intake in a gasoline powered vehicle with a throttle plate, however in a modern common rail diesel or some direct injection gasoline engines with no throttle plate can control the fuel directly. If the reduced loading would allow for a lighter throttle application then yes the power output should be reduced to compensate at the same revs, meaning that on a throttled engine less air/fuel mix should be inducted, however with direct injection I'm not as certain how it is programmed.
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