I just returned yet another butane-lighter-with-compass to elighters.com, this one the "Adventurer" from Solo, the outfit that makes the "Storm" lighter I currently use for EDC. The compass always pointed in one direction- relative to the lighter, not relative to the Earth.

That makes five lighters-with-compasses I've tried, from a few dollars up to about $80, from east-asian knockoffs (eBay) that I simply threw in the trash, to examples from Colibri, Lucienne and now Storm.

Not one of the compasses has worked.
Not one of the compasses has come close to working. Not one would consistently settle down within 45 degrees of magnetic North. That's not a very strict requirement.

I still don't see anything wrong with the concept- there's little or nothing in a piezo-butane lighter that needs to be made of ferrous or otherwise magnetic material... but it seems that not one of the current manufacturers has bothered to test to see if the factory output actually works, or perhaps they just don't care. Apparently they feel that including a compass shouldn't imply that the compass actually points North more often than in any other direction.

Along with some way to help with water procurement, fire, knife and compass are near the tops of most people's lists, and it's tempting to combine them in some ways to reduce the clutter in kits or EDC- but as of now this obvious avenue seems to be a dead end, and the best word I can offers is not to spend money on it until, or unless, the manufactuerers take the trouble to make one that actually works. Maybe the Swissflame/Campflame knife/lighters will be more successful.