Um.....did you even watch your own video?
In the second video starting at 9:27, it says exactly what I said about the earth tilting, and Polaris allegedly moving, when in fact it doesn't.
I think you are actually referring to axial precession, which is discussed beginning at the 3:08 time-stamp in the video.
To quote
Wikipedia: "In astronomy, axial precession is a gravity-induced, slow, and continuous change in the orientation of an astronomical body's rotational axis. In particular, it can refer to the slow and gradual shift in the orientation of Earth's axis of rotation in a cycle of approximately 26,000 years. Earth's precession was historically called the precession of the
equinoxes, because the equinoxes moved westward along the
ecliptic relative to the fixed stars, opposite to the yearly motion of the Sun along the ecliptic."
Over a period of about 26,000 years, the earth's axis traces out a circle in the sky. One result of this is that the north star changes over time. Currently Polaris is extremely well suited to mark the position of the north celestial pole, as Polaris is a moderately bright star with a visual magnitude of 2.1 (variable), and it is located about one degree from the pole. The previous pole star was Kochab, the brightest star in the bowl of the "Little Dipper," located 16 degrees from Polaris. It held that role from 1500 BCE to 500 CE. It was not quite as accurate in its day as Polaris is today. 5,000 years ago, the axis pointed to a star in the constellation Draco. And 12,000 years ago, the brilliant star Vega was the pole star. And because of the 26,000-year cycle, Vega will be the pole star again in 14,000 years.
The precession of the equinoxes is caused primarily by gravitational forces of the sun and the moon acting on the earth.