Well, it’s like an hour hand on a clock, it doesn’t appear to be moving.

Sirius is moving across the Pleiades/Orion gnomon at the current rate of precession of the equinoxes, i.e. one degree every 72 years (50 arc seconds per annum). It’s currently in line, i.e. pole shift is imminent (relatively speaking).

Of course, the counter-precessionary movement of Sirius is well recognised, but explained as an orbit about an invisible (imaginary) companion called Sirius B. Few people will be alive after the cataclysm to notice that it never gets round to orbiting/oscillating back the other way – at twice the rate of precession.

tens of thousands of years slower than noticing precession