Light primers can be potentially dangerous in certain firearms with floating firing pins. When I bought a new M1a several years ago it came with two or three extra documents reading you the riot act on light primers, especially with match rifles. Said it was a possibility with all rifles, but that match rifles with tighter tolerances were of the highest concern. If the bolt goes forward hard and the firing pin travels with it fast enough and the forward travel of the pin is hard enough as the case starts to enter the chamber and resist it could cause a "soft" primer with high brisancy to go off before it fully enters the chamber, or as it chambers. The result, at best, is an unwanted slamfire misfire that wastes a round and surprises you, at worse a round not fully chambered can blow up a gun and you, catostrophic failure.
Also discussed an NRA test from back in the day where they attempted to cause a safe slamfire by inserting a cartridge directly into the chamber of an M1a and then letting the bolt go forward from all the way back, managed to get 3 out of 1,000 to slamfire. Lesson on that is just put the cartridge into the top of the magazine and let the bolt go forward, i guess. It does illustrate the problems and possibilities. A reloader with sensitive primers and a very tight spec gun, or a very loose and sloppy one, could run into a problem one day.
The recommendation listed was to use military or CCI primers to avoid problems. Didn't say much about civilian market rounds that might be more sensitive, but cautioned the reloader on the issue. As for me, I may not enjoy the benefits of custom guns, all mine are GI or have swapped out with other GI parts, but I also never worry about primer issues, wither they fail to fire from light strikes or blow up for some reason. When I start getting into my 308/7.62 cast loading that I asked about on this board I'm going to have to read up on the issue again myself, no sense in saving money on reloading if you pay it out on a new rifle or hospital bills.