Here's a couple of paragraphs from NASCAR.com. From this we can see that the spike in pressure when air is used is around the point where the tire temp causes the moisture in the air to vaporize. This rapidly expanding water vapor (steam) will cause a rapid rise in pressure that will vary depending on the % of moisture in the air in the tire. With nitrogen in the tire you have no moisture or any other element in the tire that can rapidly vaporize and cause a spike. You will get a more even and predictable rise in tire pressure with the temp of the tire as a result so I would say the answer to your question is yes. If you use nitrogen I would suggest inflating and deflating the tire with nitrogen several times to purge out as much air and moisture as possible. Then your last nitrogen inflation should be fairly pure.
Fact: Goodyear gives the teams tires with air in them, but the first thing the tire specialists do is let the air out and replace it with nitrogen. Why? Well, compressed nitrogen has less moisture in it than compressed air.
When the tire heats up, the moisture inside it will vaporize and expand, increasing the tire pressure. By using nitrogen instead of air, we have more control over how much the pressure will build when the tires heat up.
We also use nitrogen to power the air guns for pit stops, for the same reason. Those guns are expensive tools, and the moisture in compressed air would damage them.
Fact: A half-pound of difference in tire pressure can make a huge difference in how the car handles.
credit: nascar.com
This has my interest up now. I'm going to have to watch the readout on my wife's Equinox a little closer to see how much rise in pressure occures. I have only noticed a 1 lb rise from the sensors in normal driving on 55 mph roads even on hot days. (36lbs in the garage and 37lbs after driving). I'll have to remember to look while I'm interstating some time. This could also mean that GM uses nitrogen at the factory or has a very dry air source.