My primary go to is a Jetboil which is incredibly reliable, but the fuel is expensive and bulkly. A backup stove would also be nice, but I'm having trouble understanding the draw of the Esbit.
From my experience Esbit is more bulky and expensive compared with the Butane/propane cartridges if being used for more than a couple of days.
And Esbit is more reliable than certain gas stoves especially over a wider range of temperatures.
Problems with Esbit or Hexamine stoves are that they are messy and smelly and for the stove to work efficiently they have to be protected from the wind as with the case of alcohol stoves. They are also slow and inefficient compared to something like the Jetboil and they cannot be used inside a tent for example.
Esbit (hexamine) will work reasonably well in sub freezing temperatures compared to other gas stoves (without a liquid feed) and can be useful for the very lightest day hikes where an Esbit stove can weigh as little as around 12 grams and the fuel required around 60-80 grams for a days use. But when you include the windscreen and pot i.e. say a Primus Kettle @150 grams and a Ti windscreen @50 grams - Total Weight would be around 300 grams. A $149 Jetboil SOL ti with a 100gm gas cartridge would weigh around 90 grams heavier.
If you run out of fuel, you could break up the last Esbit tab to use a fire starter and still continue to use the Primus Kettle.
Hexamine stoves are very cheap as well i.e.
http://www.strikeforcesupplies.co.uk/index.php?method=stock&id=2002&from=63 The British Army Tommy Cooker for £3 will boil a Gallon of Water (even with the less efficient Hexamine/wax mixture used). They were usually supplied with a 24hr UK Army Operational Ration Pack which was equivalent to 3 MREs and you could actually boil water for a hot cup of tea. Try doing that with a Chemical heater bag.