Can you please provide some evidence to support this because I have never seen any beside speculation. Race teams use nitrogen because it doesn't have moisture and provides slightly less and a more consistent pressure change as the tire heats up, which is important when you are dialing pressure in to the .25 of a pound.
It's well-known that nitrogen-filled tires maintain correct pressure much better than air-filled tires. Besides auto racing, nitrogen is used in airplane tires, as they undergo tremendous heat build up at landing (tires are exposed to high altitude cold, then are shocked into high temps as the wheels touch down).
Here's an article w/ references to papers on nitrogen vs. air:
ECONOMIC ADVANTAGES FOR HIGH PURITY NITROGEN INFLATION
Note that you have to use 95%+ pure nitrogen. Look at the section on NHTSA tests that show the inside of the tire oxidizes due to the O2 and moisture, resulting in tire strength loss. There is also mention of the moisture INSIDE the tire migrating out and affecting the tire casing, weakening the tire.
The only disadvantage I can think of is (1) cost and (2) inconvenience (you need to keep a nitrogen cylinder at home or take the vehicle to the tire shop just to inflate tires, and those nitrogen cylinders store nitrogen as a gas, so they're under quite a bit of pressure).
OTOH, tire rubber only lasts like 5-6 yrs due to environmental conditions and inflating w/ air. So if you drive an average of 12K mi/yr at a reasonable speed (say 75mph) and say a set of tires last 50K mi, you can drive about 4 yrs between tire changes, and you probably won't notice a difference. I recall talking to the driver and owner of a moving truck (18 wheeler) who moved my stuff from CA to AZ during the summer. He said he had to stop in the desert and wait 1hr+ for the tires to cool down. I mentioned nitrogen to him (he had not heard of using it), that it maintains tire pressure, was used by racing teams & aviation, and that it might mean that he didn't have to stop as often. He was pretty interested. In his case, $10/tire for nitrogen vs. down time every day would definitely be cost effective.