No, you’re using circular paths that wouldn’t exist or be seen like that.
I have explained why it would exist, and why it would be seen like that.
You have provided NOTHING to counter it, instead just continually making the same assertions.
Our actual view outward to stars would match up to the path rotation for your ball Earth.
Why do you keep appealing to a path?
Again, the rotation is about an axis.
And the distance to the stars makes the distance from any point on Earth to the axis of rotation of Earth entirely negligible.
So you can treat it as an axis passing directly through you, aligned with the axis of rotation of Earth.
Imagine ball Earth with the North Star above a point.
And importantly, imagine the distance to it being many many many many many many many many many many many many times the distance between you and the axis of rotation.
That means the rotation will have no significant effect on your ability to see the north pole star.
As an example with numbers, say a hypothetical pole star is just 6.73 light years away, and directly in line with the axis of Earth, and you are on the equator.
Well, that 6.73 light years equates to roughly 63 700 000 000 000 km.
So the parallax angle will be given by atan(6371 / 63 700 000 000 000) = 0.0000000057 degrees. So the star, if you could see it over an entire 24 hour period, would appear to trace a tiny circle that has an angular diameter of roughly 0.00000001 degrees.
That is going to be too small for you to notice.
So no, the north star will not soon be out of view.
If instead you want to start at the north pole and walk away, you would need to reach the equator for it to be out of view.
So no, this does NOT prove Earth is not a ball rotating in space.
Instead, what we observes matches it quite well.
Again, compare this to a flat Earth with the stars circling above.
Then to an observer at the centre it would appear as circles. To everyone else, it would appear as ellipses, with no stars being blocked from view.
This proves it is not a flat disc with the stars circling above.