The predictable behaviour is nonsense too. Air is 80% nitrogen so air is just as stable as nitrogen near as damn it. Whatever that means. I suspect nobody else does they just say it because they’ve been told it and it sounds cool “yeah, my tyre pressure are so stable because of the nitrogen”
The nitrogen in car tyres came from motorsport and the reason they fill tyres with nitrogen is for convenience. They don’t want to rely on the air supply provided by the circuit so they bring their own and nitrogen is cheap.
The co2 cartridges are not made specifically for bike applications. They are used for many other applications so co2 is convenient, cheap and contains no oxygen so no fire risk in some applications where fire might be an issue. So no specific reason in relation to bikes as to why it is co2.