You have in your position my absolute favorite fire starter. Coghlan's Emergency Tinder is the best as far as I am concerned. You can throw it in water, take it out and pull it in half and hit it with a spark and you have a flame that will last a good 5 minutes. Keep them in a small zip lock bag. If you get very cold you can see them and rip the bag open with numb fingers. A 35mm canister will not be so easy when it is frozen.

I had used the plastic match you are talking about. I was produced over 20 years ago and was called a metal match. The brass rod has some cotton in it that holds the lighter fluid. The idea at the time was that it was the smallest lighter sold. It looks like Coghlan's is selling it as a sparker for the Coghlan's Emergency Tinder. My advice is to throw it way and get a good ferro rod like the County Comm Metal Match or one of the other ferro rods. The back of a saw will work best to make sparks.