The problem was just making the burnt off ends small enough and slightly pointy for threading.
Not sure if you've heard about using a straw to help thread paracord. Take a short length of plastic drinking straw with one end cut at an angle (to make it pointy), and then slit all the way down the length of the straw on the side opposite the point.
Lay the end of the paracord inside the straw, overlap the long edges to make the straw thinner, and use it like the aglet on the end of a shoe lace (the plastic end that helps threading). It works well.
It might even be worth stuffing a length of straw into a kit. It can be used to thread paracord OR to suck up small amounts of water from crevases.
Ken K.