I don't know about the solar eclipse which I've wondered about too, but I've asked someone who does land surveying and he believes in the curve but said the calculations are already built in to their equations so they don't have to do that math all over again...
There are many emergency landings which only make sense on flat earth as well.
No, what I'm saying is that (a) there are calculations, predicated upon a global earth, and upon heliocentrism (or "not upon geocentrism", which would be a better way of putting it in some cases, such as positions of stars and galaxies), that make sense, work the same way every time, and can be proven to be correct mathematically, and (b) if
these make sense and arrive at the correct conclusions, such as precisely where and when a solar eclipse may be predicted to have totality, then is there a
separate set of "true", "flat earth" calculations that arrive at the
exact same conclusions, calculations that the scientists and astronomers are
really using "when they catch everyone else's back turned", and that are
also provable to be correct mathematically?
You point out that your contact "believes in the curve", and presumably uses the commonly accepted calculations, yet arrives at the conclusions that we can see, such as predictions of totality down to the second as we saw in 2017 with the solar eclipse.
Also, how do these "emergency landings" only make sense on a flat earth? Do they sometimes take place in farfetched locations, instead of someplace over what one would expect to be a reasonable distance from the flight path they claim to be following? Do they happen in places where you would expect them to on a flat-earth map with the North Pole at the center?
And as long as we're talking poles, how can a compass point south if there is no "South Pole"?
I have no agenda here, I'm just trying to think logically about the scenario.