Elaboration, as promised.
So you disagree with point number 2?
Let me make sure I understand your point: You are saying that this photo is not demonstrating rotation around a horizontal axis. Only a vertical axis. Is this correct?
If you look to the West you will see the sun generally set vertically into the horizon once it passes over. The same holds with the stars.
First of all, you didn't answer my question. It was a yes or no question.
To address your point: yes, if you look West, you will indeed see the sun setting roughly vertically into the horizon. As proven in a number of different threads, this is excellent evidence that the earth is not flat. But this is beside the point, so I won't belabor the point.
As stated, this picture is facing SOUTH.
1. In the flat earth model, the stars are rotating around a vertical axis centered at the North Pole (do you agree?). As a result:
2. In this model, when looking south, the stars are moving perpendicular to your line of vision. They should not be getting significantly further away or closer to you. They should not be moving vertically. They should be moving horizontally across the horizon from east to west.
This is not what happens in the gif. In the gif, the stars follow a small circular path centered around a point due south, somewhere slightly below the horizon. Imagine a pole sticking out from the camera towards the horizon, angled slightly downwards. Everything in the gif appears to rotate around this horizontal pole.
Now do you understand why this gif contradicts the flat earth model?