after all, the pole stars change -together with those comprising Draco. From our peripheral, this constellation revolves on the spot -apparent star motion around the pole of the ecliptic does not reflect Earth's orbit, it displays Earth gyration -precession.
As reiterated earlier, if our Solar System was in orbit of even the nearest other star, circumpolar star motion patterns around the N & S poles of the Ecliptic would be vastly different to what is observable in reality.
The 'wobble' changes Earth's orientation wrt the GC. Earth's axis -having come into longitude alignment, with the South Pole slanted toward the nucleus of our Galaxy, then commences departure (Mayan 5th, Pisces to Aquarius) & 180*deg / 13000 years later, is turned opposite from the GC, with Antarctica inclined toward Gemini, Orion and.. the Sun -thus heralding in a new era.
Our Sun's location, near the edge of the Galactic disc, resembles a fixed address which together with us, revolves as a whole (apologies for sounding elementary but for benefit of others) on the micro, Earth spins on its axis, the Moon wildly whizzes around Earth, which orbits the Sun at greater velocity than a bullet -inherent factors of our dizzying observation platform, Earth.
Om the macro, to discover the long count and great ages, "bury the bone deeper..." Observe Earth's antics from extra terrestrial peripheral. The error lies in math, interpretation - the surrounding Galaxy, complete with its proper motion, which is scarcely discernible, provides a stable reference frame.
Two different types of time are merged: days i.e. Earth revolving in hours 360* around its axis and years comprising (elliptical) orbits of the Sun, which only translates as 360* tropical year but effectively is not. Precession nevertheless, like days, is an axial occurrence, incurring 360* rotation while enduring the time of accumulating lap after orbital lap of the Sun -Earth wobbles independently and not as a consequence.
The Moon being a mere satellite, can be a false witness, a captured rogue, Luna does not dictate to Earth -the order of command being Galaxy eye - Sun - Earth. The actual missing motion is Earth's gyration.
"the bone is not lost..."