I like the top half of your response.
As for the bottom half, you can't just claim that those subjects are irrelevant to the Earth's shape if you haven't actually consumed the hypothetical super-perspective that necessarily contains a spheroidal Earth. Definitionally, because this theory is purely hypothetical, you can't say that it does not possess links between those subjects and the shape of the Earth. Those links are unknown unknowns to you.
To your point, reincarnation/YOLO does not directly have anything to do with the shape of the Earth, however, a hypothetical super-perspective that ties everything together in ways that are satisfactory to basically every tradition including science would have such a dominant score on the scoreboard that Occam's razor has to enter the discussion. The point in invoking reincarnation/YOLO and the other topics was to point out that there are huge, very contentious topics besides Earth geometry and if a perspective had answers for all of those things it would necessitate having some model of Earth's shape. Obviously if it included a flat earth model, you'd be all over it. That's easy to consider. I'm asking about the hard version.
Next question, if such a hypothetical super-perspective was claimed to exist, would you "empty your cup", to borrow from the Zen koan, and temporarily suspend all beliefs in order to steelman the hypothetical super-perspective?
What I would expect to happen with a typical person would be as follows:
Let's say that Alice needs about 14 hours straight to roll out her hypothetical super-perspective. While that may seem like a long time, that's not all that bad for a super-perspective. People sign up for courses that take more time for less important things than a unified super-perspective.
Bob gets antsy after about 2 minutes of listing to Alice talk and Bob wants to object already even though there is still 13 hours and 58 minutes left of stuff for Alice to roll out. In other words, Bob is most likely to impatiently disallow Alice from cooking, by interrupting Alice's cooking process which takes a while given the magnitude of what is "in scope".
Would you be able to let Alice cook and hear her out, uninterrupted?