Okay, I am a believer in Nitrogen for one specific reason - there is virtually no chance of having moisture (water) getting in. True, air is mostly made up of Nitrogen, but as in the above, there is often a lot of moisture in the air and especially from a normal air compressor. Personally I let them put Nitrogen in (yes, costs a little, but once off) and then whenever necessary I simply top up with my air compressor. So technically defeating the objective, but my logic is - Oxygen is less dense than Nitrogen, so escapes quicker from the tyre since rubber is porous. So after a while assuming you keep topping up with pure Nitrogen any remaining Oxygen (from when the tyre was fitted) will eventually work its way out.
I think the main idea is to maximise the amount of Nitrogen and minimise the amount of moisture in the tyre - this allows for more consistent pressure and also importantly lower operating temperatures (tyres don't get as hot and tyre pressures don't fluctuate as much from temperature change).
But important, especially with RFT's - make sure you have an accurate and trustworthy pressure gauge and monitor the tyres pressures on a regular basis. You aren't going to see a low pressure RFT tyre as easily as a non-RFT tyre!!