That's the point. A Zippo ALWAYS needs fuel added because the fuel evaporates quickly. That makes a Zippo unreliable, and it's dangerous if you are treating it as a piece of reliable gear. You can carry around spare fuel, but then I'm well beyond the point of wondering what's the point.
Put a section of bicycle inner tube over the zippo. The fuel will last about a month that way. Plus the rubber makes a great emergency fire starter if needed.
And the tabasco sauce bottles that come in MRE packs are excellent spare fuel carriers.
A Zippo is really an EDC item, use it, refuel it. Bic lighters etc are great for survival kits, however they do have a couple of weaknesses:
1) Not substained flame.
2) Can be problematic below freezing.
You can shove a zippo under a pile of damp tinder and be reasonably certain of starting a fire.