Super glue, dry or not, can catch fire and burn. It ignites relatively easily from a flame and emits noxious fumes.
Superglue and cotton balls are not a good combination. If you pour a whole tube of superglue into a cotton ball, it will start a fire. The curing of super glue is exothermic, and the glue is plastic.
A Very Useful Tip on How to Dispose off Important Documents!
Suppose that you have many old essential documents that you want to get rid of but can’t let them fall into the wrong hands. They are no use to you, but they have some important data on them that you don’t want others to misuse. There was a Batman movie where the Penguin restored a shredded document “with a little patience and a lot of tapes.” So shredding isn’t the best idea here.
So, that just about leaves “burning” as the best remaining option. But that has problems, too; you don’t want the fire to convert the paper into rising cinders that can start a fire elsewhere. So, enter Super Glue. You glue your Important Old Papers into solid masses of various sizes and use them like fireplace logs. The glue keeps the papers “together” enough to prevent flaming/floating cinders from getting loose.