About this here Elemental Wheel...

[Razor]

If the wind is sharp and strong enough to actually do any damage at all to your average Coblyn I'd say it'd be pretty good for quenching flames.

Tornados do plenty of damage to lots of things and are wind based. :P Wind inflicts damage by slicing/carving/force or by carrying objects and dealing damage. Although I honestly don't know what has happened when a tornado meets an equally sized inferno and that now has peaked my curiousity. However:

Forest Fires can become so strong that the speed at which they burn actually sucks air forcibly into the center creating a fire wind. In extreme cases these fire winds can cross forming small tornados of fire.

The idea about wind being used to remove the air from a fire was very interesting and I never thought of it that way. Unequal match ups (blowing out candles) will always occur (throwing a single bucket of water or dirt at a house fire isn't going to do much good either).

EDIT:

'cause ifrit.

although you CAN blow out a candle right? hardy har har

If Garuda can "blow out" Ifrit's flame I will be thoroughly disappointed.