You give me the impression of understanding the implications and the shock when I started reading TES hypothesis. Yes, that is correct. You can look into all the simulations for each region of the world here:
I'm checking each citation TES is quoting, thus it would be awhile before I finish with the series with a tooth comb. So far, his hypothesis is rock solid (I started with the Exothermic Core Mantle Decoupling article, which is supposed to be the last one). But it's incredibly grounding amidst all the madness in the world.
As I understand, it could have happened twice within the last 15000 years or so, and the North Pole over Africa lasted between 50 and 400 years or so, as everything cools off with an Ice Age. If the C's are right, sol's companion was not around for millions of years. So we don't know what to expect. At least, we can reorient the historical cosmology that we know and realize that it was not only swarms of comets moving the crust a bit and all that.
In this time they said that the sun had moved four times from his accustomed place of rising, and where he now sets he had thence twice had his rising, and in the place from whence he now rises he had twice had his setting. -Herodotus, an Account of Egypt