Don't think from reading this that y'all have experience handling explosives. Recommendations are to keep humidity high and synthetic fibers low. This is to prevent accidental discharge (from static electricity) , not to prolong shelf life. The only plastic material I would store loose primers in would be the anti static type used for static- sensitive electronics protection. I've received blasting caps packaged this way. Static generation would be exacerbated by movement, such as carting your pack. If I misunderstand and you are storing packaged primers in their original packaging in plastic bags, this MIGHT be ok IF you took appropriate measures to discharge accumulated static. Also, ever had a (one) primer explode against your finger? A Lee loader and a cocked shotgun primer as a kid made a lasting impression (!) on me! Now I can't imagine 100 or so primers primers going off close to your body!
Nuff said!