Does Nitrogen inside commercial airliner wheels prevent blowouts on touchdown?
Apart from the paragraph you quoted, here are a few more reasons.


Dry nitrogen is specified for aircraft use. I believe the rules say that any gas used cannot exceed 5% oxygen content. Because its dry it reduces corrosion.
Nitrogen moleculeas are slightly larger than oxygen and takes longer to escape.. hence tyres stay inflated longer.
But more importantly, nitrogen has a lower rate of expansion/contraction than normal air. An aircraft wheel has to live in sub-zero (at 40,000ft) and blistering hot (IIRC about 500deg C will trigger hot brakes warning). A gas with a low expansion rate cf temp is desirable. This trait has been put to good use by unscrupulous 'performance auto shops' which claim better handling with nitrogen in the tyres...