Predictions: at best some incoherent rant that they can but won't do it for some bullshit reason
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Funny you mention the Egyptians and Chinese, because their charts are largely constructed around a heliocentric model
The ancient egyptians conceived of a flat earth with a dome stretched out over it. It's depicted many times in their reliefs.
The ancient chinese are almost certainly the same - prior to greek influence, that is.
Do we know that these charts are (mostly) correct? As in, are the rough measurements/design reflective of reality?
Because the periodicity is the same today - yes, i think we do. But presuming that ancient astronomers with written language lacked the ability to record the frequency of astronomical events competently seems a little extreme to me.
Much like our measurements today, and for the same reasons, i would expect that the measurements themselves are reflective of reality (i.e. reasonably accurate) - however the interpretations of those measurements are often wildly wrong.
How far does the dome reach, stretched out? Is there a measured (roughly) diameter of this dome?