Today while firing with snap caps and opening the gun slowly I noticed that when I had it opened enough to see between the barrels and breech face the pins were still protruding. It isn't until the barrels are 1/4" or more above the fences that the pins are no longer visible. As you might expect the right one disappears before the left one.
Another thought is that if some bozo has removed those bushings to install the new, ugly firing pins, they may have the bushings screwed in too deep, maybe even switched. This could account for the primers backing out, as they obviously have. Primer bushings usually do not screw in tight to make them flush with the breech face. They need to be in their original holes, to start with, and stopped at the witness marks. It's also not uncommon for cheap guns to have the cocking levers or rods wear so that they do not start to cock the hammers soon enough, to take the pressure off the firing pins. I'd start by shortening the firing pins(out of the gun), to get about .040-.045" protrusion. Them when reinstalling, make sure the bushings are in the right holes and screwed in just enough to make them exactly flush with the standing breech. Them, if the problem still persists, work on the cocking parts to make cocking occur sooner. Go slow on this because if you go too far, they will prevent the hammers/firing pins from going forward far enough, when firing.
There have been several comments on the pins themselves. What is it about those pins (aside from the fact that are probably the culprit) that identifies them as being replacements? I will switch the bushings and pins around separately and together and see what difference that makes in pin protrusion or anything else. There are no witness marks. What might look like them in the first picture was deposits from the Winchester primers.
After looking at these latest pictures, and reading your post, I think the previous molester has swapped the firing pins. The shallow dimple on the shell from the left chamber and the deep dimple on the shell from the right chamber would be cured by the longer pin being in left side and the shorter in the right. Does that make sense?
binko
The longer pin fired the left barrel. Four of those are from the right barrel with the shorter pin. I don't know which one was shot in the left barrel but I do know that it was one of the Winchester hulls.