Unless you're a competition marksman there is no reason to move reloading supplies
and if so, a marksman would absolutely know how to properly store primers for transport.
This guy deserves an anal exam from TSA-Bubba in public for stupidity.
I always have primers in my shooting bag because I frequently reload at the range. Because of the reloading equipment that I use, Lee Classic Loader (which requires the use of a hammer!), I meet a lot of people who have never seen simple hammer dies and I usually end up in some interesting conversations, which frequently turn into small seminars. I try to start people reloading in the hopes that they will continue.
The conversations sometimes end up with me giving my business card with a list of equipment written on the back and a URL (usually Midwayusa.com) where they can buy the equipment.
So I carry primers every time I go shooting. But they are removed from the tray three or so at a time as they can be dangerous if they go off and set others off.
Primers are manufactured wet and are loaded into the trays wet. I don’t mess around with them.