As others pointed out zippos might leak fuel, make a good choice and use a reliable one. I would prefer zippos over disposable things simply because it is greener, not producing garbage, and also it is cooler.
But a few important thing:
- you should have alternatives, even which don't depend on fuel: flint should be ok with iron. Remember, the fuel might get low, or accidently you can lose the lighter.
- if you expect rain, keep a small bunch of well cut wood dry, and take it with yourself if possible. It shouldn't weight more than a few 100 gramms extra, but if the rain catches you, it will save you a lot of time. You can add some dry grass or
I would say an ideal pack for making fire would look like:
- 2 pieces of zippos (one might be exchanged for a disposable, it surely doesn't leak)
- 1 flint with iron
- ~100-200 grams of fire starter wood in a waterproof protective small bag, which shouldn't be a lot bigger than a regular lunch box. You can fill up the bag's open space with dried straw/grass if available.
And of course never forget a decent knife if you want to cut even smaller pieces of wooden sticks for starting the fire.