I had similar concerns with a rifle many moons ago. Like yours, it had the primer-flow around the pin, with nothing on the edges (primers still nicely-rounded rather than flattened to edge of pocket). It was suggested back then, to have the pin-length relieved slightly, as the first and simplest (also cheapest) attempt to remedy things. It did work, primers looked much better, with very mild flow. All mine looked like your 3rd pic (bottom one), or even a tad worse. Any gunsmith could do this, without compromising the pin-function, going by the depth of penetration your pictures show
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