Yes, that could be the case.
In his hypothesis, the entire mantle becomes "buttered up" from the heat, so the gyroscopic shift is within the mantle itself, not the lithosphere. The latter just goes along with relatively less stress. Like the difference between a green tough avocado, to a "buttered" one. In the former, a shift of the lithosphere (the skin of the avocado) requires a lot of stress or huge hit to even move it minimally. In the "rotten/butter-like avocado, you just twist it gently and the entire thing shifts around the seed. That is, the entire mantle shifts around the core, with relatively less stress to the lithosphere/skin. It's within the mantle itself that the decoupling and gyroscopic movement takes place, not the lithosphere. You can check out his articles:
Exothermic Core-Mantle Decoupling - Dzhanibekov Oscillation (ECDO) theory is a series of hypotheses regarding climate change and its relationship to the Earth's core, as well as both the evidence and mythology surrounding global cataclysms. It is solely the work of its author, The Ethical...
theethicalskeptic.com
It's one of those things that are unbelievable, yet the science is there.