not necessarily true for all bullets of the same weight and diameter. some bullets have different profiles, with more or less area contacting the case wall and barrel. it will usually be close though.
Length of the bearing surface is the key as well as hardness of the jacket. As far as minimum loads, I agree with trueblue. Ogive is a clue, the longer the ogive is, the shorter the bearing surface, or shank, is likely to be at a given weight. Bullets that have a truncated cone nose profile like Sierra's, typically have the longest shank/bearing surface. So, maybe it is worth noting that using all of the advice given and using a Sierra manual that provides data for their bullets, that's a pretty good way to assure yourself of which minimum load will have the highest operating pressure at a given charge. In my experience, the Sierra data is a pretty safe bet for a minimum load with a given bullet weight for every autoloading cartridge, provided you are using a bullet of similar jacket mat'l and not a plated bullet.
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