The RE circumference in the experiment is equivalent to the FE diameter in the FE Monopole model.
No, it isn't.
They are in no way comparable.
There are 2 variables in this experiment, the radius of curvature of Earth, and the altitude of the sun.
In reality, the sun is so far away that unless you have very accurate measurements, all you can obtain is the radius of curvature of earth.
For the FE model, it would give the height of the sun.
If you use more than 2 points (which aren't symmetric) you can then resolve this discrepancy, and get the radius of Earth as well as the distance to the sun, noting that as the distance to the sun increases, so does the error in it, until you basically get the radius of Earth fairly accurately, but get the distance to the sun as basically "very far away".
You cannot get the diameter of the FE from this experiment.
This experiment can't even tell you if this hypothetical FE is finite or infinite.
If you instead throw in another variable of magic bendy light, you get nothing from the experiment as there are simply too many unconstrained variables.
There are two North-South points separated by 500 miles. If you know the displacement of the sun in the sky from one point to the other (ie. 7°12'), and if you know that the sun sets relatively consistently as you move through whatever mechanism causes it to set as the sun or observer moves
And there are only 2 possibilities here which come remotely close to working:
1 - Earth is round, and you determine the size of the round Earth.
2 - Pure magic with it being massively complex depending upon your location such that it makes Earth appear round and makes any attempt at trying to determine the size of the entire Earth (or even just the regions which can be illuminated) from a local measurement impossible.
In order for it to be consistent, the region of illumination would need to be a circle. But we know it isn't on a NP centred FE.
And that is also quite trivial to realise.
We observe the equator having ~12 daylight hours each day, and ~24 hour days.
That would mean the sun illuminates ~50% of the equator, and more importantly, will illuminate 2 points on the equator 180 degrees apart.
But any circle drawn through those 2 points will cover the north pole.
This means it should always be daytime at the north pole.
And there are plenty of other related problems.
Even if you didn't have that problem and it sun illuminated a circle, there is still no basis to assume it will be a simple linear relationship, or even an isotropic relationship.
So what you really have is the experiment determining the size of the RE, and then dishonestly pretending this measurement of the circumference of the real round Earth is the same as the diameter of the fake flat Earth, because you can project the surface of the RE onto a flat surface using an azimuthal equidistant projection which preserves N-S distances.
then you can estimate what the distance on earth will be from 90 degrees North to 90 degrees South
And there is no reason to think that would be the size of a FE.
Those kind of units shouldn't even be used for north-south on a NP centred monopole FE. Why use degrees at all instead of a unit of distance?