Your "established fact" of parallel sun rays
Care to actually address what I said rather than your strawman?
Here, let me point it out for you:
You mean the established fact that the sun is so distant that the rays are basically parallel
Notice how I say they are basically parallel.
To make that more complex:
The sun's rays come in very close to parallel, nor perfectly parallel.
For a single location, the sun's rays come in from various points on the sun separated by an angle of roughly 0.5 degrees.
But what is actually measured is the position of the centre of the sun, which would be the parallax.
For Earth, going from the equator to the north pole is a parallax of 0.0025 degrees.
Latitude is based simply on angular observation of Polaris - not on sun position . That is all you need .
No, latitude is based simply upon the angle subtended at the centre of Earth.
It makes no sense for a FE.
Again, it isn't based upon Polaris, as Polaris isn't directly above the north pole, and it "moves" just like the sun, just around a much smaller circle.
If you want you can try to use the north celestial pole and south celestial pole, but that is just appealing to a RE still, as it is looking at the change in angle between level and Earth's axis.
The simple survey point stands.
And the southern region point still stands.
By your definition of latitude, it shouldn't exist for a FE.