My brain kept on thinking about the idea of decreasing the pitch having an effect on lowering the barrels. I may have been too quick to believe this wasn't so, because I wasn't considering the recoil effect. If the tapered "shim", for the lack of a better word, made the toe contact space less firm, then perhaps the recoil allows the toe-to-shoulder gap close up, effectively letting the gun to drop, instantaneously.
While this might work, it won't help me on the gun I most want the additional drop in, because that gun has a skeleton butt plate. I could put a piece of carpet inside a slip-on, just at the heel, but the guy I shoot with doesn't have the patience to watch me messing about.
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