It doesn't appear to saying that to me Tom. It actually says...
We conclude that the flat earth/near sun model does not work
They didn't conclude that based on the method in the article, they concluded that a close sun was possible with the methods. They are talking about the sun's angular size, another matter, to which they did not read Earth Not a Globe or our Wiki.
With real science, experiments are controlled, analyzed, tested in many different scenarios, to the n
th degree, and there is much more certainty with the results. See: Chemistry