Wherever you are, the sky always moves counterclockwise. You cannot understand this direction because you are far from the center of rotation in the southern hemicircle.
It's not really hard.
You are correct that it isn't really hard.
In the southern hemisphere, you are just as close to the centre of rotation as in the northern hemisphere.
You can see the south celestial pole to your south and you can observe the stars rotate around it.
They rotate clockwise, not counter clockwise.
This is not a difficult concept. It just refutes a FE.
But to go to the more complex version, you don't even need to be in the south to confirm this. You just need to make sure you aren't too far north.
Set up 2 cameras back to back. One points directly at the north celestial pole, one points towards the south celestial pole, 180 degrees opposite.
That also means one is pointing up while the other points down.
Then record a time lapse photo/video.
You will observe the stars circling the centre point of the FOV.
Counterclockwise for the one facing north, clockwise for the one facing south.
None of the tools are based on any model; the mathematics has been built up via tabulation and have existed for thousands of years, independent on whether the groups that used them believed in a flat or round earth.
To have a massive table for every star and every location would be completely ridiculous.
But the software is open source so we can easily see how it works.
Can you point out where these tables are in their Git repository (or the code which pulls them from elsewhere)?
https://github.com/Stellarium/stellariumSee, this file:
https://github.com/Stellarium/stellarium/blob/master/data/ssystem_major.iniinstead of showing a table for any of these celestial objects has data which can be used to calculate its position (i.e.a model).
Likewise, this file:
https://github.com/Stellarium/stellarium/blob/master/data/base_locations.txtinstead of showing massive tables for locations has a small set of data which can be used to calculate the relative position of a star.
Sure seems to look like it uses a model to determine where to find things, rather than a table.