Haha… I laughed out loud at the swabbing of the coil as potential bomb material.
I never thought about the reverse coiling as it is both tightened and loosened which requires rotation in both directions. I guess if your a lefty then the more vigorous twist to tighten might be preferred in the opposite direction. Have you tried the opposite hand at the top for twisting to your strong hand… that might be enough to give you a more natural direction of rotation.
You could possibly uncoil, straighten and recoil in the other direction by that might make the metal a bit stiffer but you could get away with it and not cause a serious problem.
You need not be concerned about the plastic skin that encases the lead… it is not going to weaken and crack, split or flake no matter how much the coil is manipulated.