It may just have been for a back up. in case they needed it. Like a first aid kit. Its light weight, quick to use. Used properly very calorie efficient. Just make a few snares, put them out in the evening, check them in the morning.
Semyon Zolotaryov had a ball of thread, possibly silk, for fishing. They seemed to carry these items randomly as survival kit. Like matches, pocket knife, newspaper, the onion, the compass, all spread among the members of the group. Survival kit items should stay on your person. To save one person carrying it all they shared the items out.
The personal kit list mentions matches twice, one in a tin box which I think would be for emergency use only.