A hypothermic person can have SEVERE loss of coordination and sensation in their hands.
Imagine trying to strike a match or flick a bic while wearing boxing gloves.
A Yankee friend of mine does a lot of winter hiking, snowmobiling, etc. He had one of those fireplace lighters with the long neck and and a trigger to light it. He epoxied a big fat knob atop the safety, cut off the trigger guard and put it in a ziplock baggie. He said he figured if he couldn't manage to squeeze the trigger, he could at least just grasp it and push the trigger against the edge of his boot or something to light it.
Jeff