I reckon it's soft cotton fibres that have been soaked in liquidised petroleum jelly, and then lightly twisted and cut into short lengths.
Those pull apart into a lightly waxy fluff (you don't need to use a whole twist to make fire) that catches the spark.
So, I reckon that a toilet bag with cotton wool and a wee tub of vaseline (like the lipsyl tins) and you're sorted
I think you could slip the cotton twists into the tin or plastic tub no bother.
M