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Makes sense to me. As I believe this to be an off-center fed full wave vertical with the bottom 1/4 OR SO inverted (folded up) to capture it's next 1/4w up and to radiate a bit itself, though the cone top would be a voltage not a current node, it should show a little additional radiation.

I doubt your 30 mile test as that's well over the horizon and well past the point to be seeing 'ground wave'. I suspect D layer reflection showing the opposite. Seems shortening the cone should move the upper 1/2w toward a 5/8 radiator lowering the TOA, unless you're also moving the feed point of the Gamma.

Have you used near-field measurement to test for lower TOA when lengthening the cone?