I carry a firesteel, some char-cloth, Vaseline cotton balls, some U.S. Army surplus hexy tabs, some clothes dryer lint, and some birch bark. As I have a pepsi can stove as well, so I, like you, also have a small bottle of alcohol, and a match safe containing some lifeboat matches. Last, but certainly not least I have a small Bic lighter as a backup for when/if everything else fails. This sounds like I need a rucksack just for firestarter, but other than the alcohol, it is all in 2 small waterproof containers.
I know this appears to smack of paranoia but I have had tinder fail under adverse conditions, matches run out, lighters fail, etc. I do not want "all of my eggs in one basket" nor all of my "eggs" of the same type. Call me crazy, but I consider this "fire insurance."