Mileage seems to vary. Some of the divers in my area showed substantial improvement in air consumption with Nitrox, some showed improvement at depth only and some showed no improvement at all. So there are, in my opinion, a lot of other factors involved and a simple statement that nitrox improves air consumption cannot be made.
My air consumption is already quite good (SAC rate of .53) but I also show substantial improvement over that when diving Nitrox. The increase in P02 has little to do with the stimulus to breathe however as that is triggered by CO2 levels. So based on this, my experience, and my limited observations of other divers Nitrox and air consumption, my Unified Theory of Nitrox Versus Air Consumption is that Nitrox potentially improves air consumption in divers who already have a high tolerance for elevated CO2 levels (in my case from freediving for several years before moving to scuba) and can therfore breathe slow enough and dive efficiently enough to reap the benefits of the extra O2 in their lungs by being able to tolerate elevated CO2 levels.
The ability of the diver to limit his or her movement under water and keep extraneous motion (and muscle activity) to a minimum is also key as it will reduce the amount of CO2 produed. So I also suspect divers with good air consumption are the one likely to see further improvement with Nitrox. In my observations, it has not been a cure for being an air hog.
The bad news is that there is also research that indicates that elevated CO2 levels are a factor in O2 hits. So skip breathing, artifically lowering your breathing rate on Nitrox, or just having a very low breathing rate (and consequently getting great air consumption on Nitrox) may increase your suceptibility to an O2 hit.
This was one of the reasons for the US Navy not pursuing enriched air to any great operational extent in the 50's and 60's as they found sensitivity to oxygen toxicity to be quite variable. They also used divers in the test program who were helmet divers and who had consequently also developed a high tolerance for elevated CO2 levels and were consequently at greater risk than the average diver.
So in short, if you get great air consumption on Nitrox you, in my opinion, need to be conservative with PO2 levels.