I think you wrong Ciro
That's because when you consider vaporization the volume and pressure changes abruptly. So when say liquid oxygen vaporizes at 90.2 it will have the same P*V value per mol as nitrogen at the same temperature if both behave as ideal gas.
It is unlikely that they would behave so, however it is tough to predict the deviations from ideality for a given gas.
2ubrben - do you mean freon? In that case it makes even higher difference, for single additional atom you get an increase of heat capacity by R. But I don't think that there's truly big difference in total heat capacity of the tyre with different gases. If you think about that for a second the more heat could gas store the more stable would be temperatures of the tyre that may give that consistency benefits that you mentioned.