What I had in mind there is that "thinning of the veil" is a drastic dilution of the more ancient model of the supernatural. It implies that there a secure barrier between the (mainly malignant) world of the dead and our own one, something we can count on for 364 days of the year. What you see in the reports of Mediterranean belief systems from Carrington and Ginzburg is quite different; there are no quasi-electromagnetic force fields keeping the ghouls, undead and bogle-bos out. They'll do their own thing and about all you can do is make feeble attempts to propitiate them with knotted bits of twig and saucers of milk in the doorway.

That's what animism is about; beyond the material world, reality is entirely animate, composed of conscious beings, not a domain of quasi-physical, lawlike processes. The "veil" idea is post-animist, and seems on the historical evidence to also be post-Christian, post-Enlightenment and post-Industrial-Revolution.