I agree that supply shocks are not changing the intrinsic demand for nuts. Rather, nut popularity happens to be increasing around the same time as a supply shock.

No matter how inelastic demand is, it is impossible for prices to increase faster than costs. In the limit of infinitely inelastic demand, prices increase at the same rate as costs (all costs are passed on to the consumer).

That only obtains under perfect competition, as I already said. I'm not trying to convince you that this behavior falls out of basic economic laws, I'm saying you're looking at it in the wrong context. Please look up the terms perfect competition and monopolistic competition, or we will just be talking past each other.