Yep. And this whole thing is a microcosm of the entire situation: the details really, really, really matter. It's quite easy from the outside to not realize how much they really, really matter.

(It is also true that it is not the case that if it is not continuously absolutely refrigerated, it immediately goes bad, which is one reason why the milk analogy gets strained. Milk expires far, far faster, and in a more binary way than insulin goes bad... but freezing it is extremely bad, so... analogies are hard.)