Metal match......cotton balls saturated with petroleum jelly. Metal matches (ferrocerium fire starters) come in various sizes, make sure to get one large enough that you can hold it and effectively use it if you get hypothermic! Absolutely the lightest, most reliable method. One saturated cotton ball will burn for about 10 minutes, long enough to dry out wet tinder.
I teach primitive fire making by spinning sticks, several different ways, also teach personal safety and survival for search and rescue.
Steel wool is ok but if it gets wet it needs to be dried out before it will burn, put it in your shirt next to your body for a bit using your body heat to get as much wetness out.