The alcohol will evaporate out of hand-sanitizer after it is open long enough. It will work, but put a new one in your pack every year.
I am in the petroleum jelly and cotton ball camp, myself.
Melt some parafain wax and mix in 40% of your Pet Jelly for a more stable, less messy cotton ball. I only dip the cotton about 3/4, so there's some raw cotton left. Light that and they burn a good 15-20 minutes and are hot enough to start kindling.