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I'd like to see the evidence, and I very much doubt that they were made on a spinning lathe.
There's plenty of room for me to adjust my perspective on this, and I've spent most of my life running metalworking machines and tooling - modern and antique.

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I would expect an even wall thickness for the entire cone, yet the originals tend to have thinner noses.

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That was intentional so the nose turns in on itself on impact.