Unless those time lapse videos are near the axis, then the stars should be rising and setting on the horizon as the globe earth spins.

Bingo.

Or are those just time lapse videos of stars spinning in spiral circles over the flat earth?

Thing is, if the flatties were correct, the point of rotation wouldn’t move to the horizon… ever. It would only barely move from the zenith in relation to your physical position on the disc, but literally anyone can get footage from any latitude which proves their worldview wrong.