To restate my position; it appears flat because we can't find the claimed curvature. It could be anything else other than curving, because various types of measurements falsify the claim of curvature.
Similarly, there is no evidence the earth is in motion. There is an equivalence in the models, in that one proposes we are moving while the other proposes that the bodies are moving around us. Both are equally valid from a kinematic and dynamic perspective in physics.
I've come to the conclusion that the physics which supports heliocentrism is wrong. It's reached a dead end and it has problems, like dark matter, which geonentrism doesn't need to account for because we have an aether. That's why I believe one of the main keys to breaking this apart entirely is zero point energy, which is only possible with an infinite energy source, or the aether.