If you want a stove for hiking which is fast and efficient then gas is the way to go. Gas stoves can be used in huts as well as in campsites. The disadvantage to gas stove cookers is you need to carry heavy gas cylinders. These gas cylinders must be taken out with you and can not be taken onto aircraft.Â
Wood burning stoves can only be used outdoors and relying on fine weather as they need dry wood for fuel. Also there can be further restrictions around their usage. Wood burner stoves are the lightest option however can take a bit of time to get going. They can be used as a backup for gas stoves or at campsites during the winter as heaters.
Alcohol stoves are a good alternative to gas as you can take only the fuel you need. So if you are only staying a couple of nights on the track you can save on some weight. The other benefit is they run on methylated spirits which is stocked by most supermarkets. No more stressing about where to get gas from after flying in for your hike.