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I don't know if the earth is flat, curved, spherical, concave, etc.
But after working with GPS systems for more than 6 years and counting, I can say that satellites don't exist.
We lose satellite GPS connection on the same spots we lose cellular data connections.
This is consistent.
And the places where we lose the satellite connections are high places with clear skies and clear view of these "satellites".
These remote places have a "hole" between cellular antennas, and we lose celllular for only a few kms (2-10km).
These holes don't make sense on a satellite communication model.
