I notice that the Theodolite site is credited to an outfit called "Aether Cosmology." I decided to look up their other publications, and found this mass of risible nonsense:
Making sure you're not a bot!
They also distribute kooky "Biblical cosmology" texts.
I also wasted considerable time I'll never get back to reading the Theodolite screed. Whole sections are totally empty, others give "missing image" errors, and quite a few sentences of the text are unintelligible, almost as bad as the inchoate rambling in their video above.
Furthermore, their core assumption that star positions should appear lower to an observer on a globe than on a plane ("If the earth's curvature is real and causes the angular descent of stars") is faulty (along with their conclusion that occlusions would happen earlier if the Earth were spherical).
A simple thought experiment can validate this. You're standing on a plane, looking at a star. You're looking up at some angle. All else being equal, replace the plane with a globe. Does the angle change? Replace the place with a cube, or a cylinder, or a dodecahedron -- or with empty space. The angle to the star will not change.
Lastly, the Stellarium software, on which they depend for predicting occlusion times, is intended for star observation session planning, not exact timing. It can be a minute or two off at times, and atmospheric conditions add more potential errors.
