Really? I didn't realize this was a thing. Don't quite understand the mechanics of it, please explain further....
The best way to understand what happens is to flip your arm forward, without clenching your fist, as hard as you can and feel what happens at the wrist when it stops suddenly.
The same thing happens to the tip of a firing pin and the more often it happens, the weaker the pin becomes. It's akin to mild flexing, which over a period of time will cause the metal to break/weaken.
With modern rifles, most of them will have evenly tempered steel from one end to the other.
This wasn't the case with older firearms which often only had the tips of the firing pins hardened. They didn't have controlled temps and relied on the eyes of the person tempering them to get the "right color" before quenching in oil to harden properly.
When the spring is released and the firing pin is pushed ahead, at quite a high velocity, then comes to a very sudden halt, INERTIA takes over and if the juncture between hard and soft metal isn't quite right or has flexed one to many times the tip will continue on out the end of the barrel.
No, this won't happen every time, but unless you know for sure the tempering is perfect, which is close to impossible on firearms made under stressful conditions with 80 year old technology, it's luck of the draw.
It happens often enough that the warnings are still out there.
Another analogous image is to watch what happens when you use an inertia puller to remove bullets from a case.