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Have you tried creating auto points from the scan and constructing a cone out of that? I usually resort to doing this when the auto features don't work.
I don't understand why it gives a different value when intersecting the auto cone with the plane, but the result from constructing a circle at a certain height might be explained by the fact that the cast point for a constructed cone and an auto cone are not the same! What are your other parameters for the "circle at height" (which point, which vector)?
Measure the same cone both as auto cone and as measured cone (or a constructed one),
construct a point (Cast point) from the two cones and compare the Z values,
you will notice a difference - the auto cone has the start end (the surface you clicked) as cast point, the measured (and a constructed) cone has the vertex.
Now construct circle on a certain height from CONE_START on each of them, and you will get different circles.
CONE_VERTEX (if that's the name in English) gives the same result irrespective of how the cone is measured (which is natural, as it is the same cone, with the vertex at the same position).
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