In reply to Rob Exile Ward:
The threat was not minuscule at all, we were just lucky that the worst case scenarios did not materialize.
To strongly simplify, there are two main versions of the human prion protein (PrP, the protein that clumps in your brain when exposed to the misfolded BSE or CJD versions). One of these variants is much more likely to form these clumps than the other, more common one, especially when transmission occurs via food. As it fortunately turned out, all (AFAIK) human victims that contracted BSE from cows had two copies of this rarer, more sensitive version.
However, both versions are in principle able to be converted into these clumps, either experimentally or by contaminated surgery equipment, when higher protein levels are transmitted (and directly to the brain!).
Since for prion diseases incubation time is strictly dependent on the starting PrP load, discovering that a) both human PrP versions can in principle be converted, and b) the first cases started appearing was pretty dramatic.
As it happened, the average time to conversion for people with at least one less sensitive variant turned out to be on the order of our life span. Any (rare) cases of human BSE will just disappear in the background noise of age related dementia.
However, there was no way of knowing, and had the species barrier only been a little lower, our health systems could have be overwhelmed by now.
CB