So Janus, your disputing the method of measuring earths diameter by difference in time of sunset by height is not detectable ?
That is a completely different measurement than the one you suggested. Determining the diameter of the Earth from sunset time at ground level vs. head level, as shown in the link depends on the Earth's rotation, Not on a displacement of the Earth in position. It also depends on the distance of the horizon as viewed from two different heights (ground and head). At typical head height, the horizon is ~ 5 km away, (vs no distance at ground level) this results in a viewing angle difference of ~70 arc sec. This measurement is totally independent of the Sun's distance.
However, any change in viewing angle caused by the Earth being displaced by 10 m does depend on the distance to the Sun. And would result in the extremely small value I gave in my Earlier post.