I enjoyed watching your YouTube video. :)
what happens to me is that when I realize I don't need them any more at the end of the last ice trail, they are covered in slushie muddy ice. I try to shake and air dry them, but I'm tired and likely 2 miles away from the car. So I either shove them haphazardly inside the crampon case or tie-down to the outside of the pack, with straps poorly wrapped around. Not a quality job, but the tourists are swarming and I just wanna get to the car.