Indeed. Cold storage evokes science fiction and the various cartoonish parodies of it, and popular media depictions of wicked or comical immortalists, and religious mythology to some extent (being dead long enough to become "cold" and then coming back to life), while being unconscious but warm is more evocative of things that are seen as neither weird nor threatening nor comical, like Sleeping Beauty, and, more generally, of benign things like sleep, and undesirable-but-clearly-better-than-being-dead things like being in a coma.

So maybe it's actually more the "COLD is DEAD" metaphor at work than any of the "COLD is [something immoral or threatening]" metaphors. The idea of a person being that cold and still being revived seems much more like a resurrection than like waking up or even coming out of a long coma — which probably contributes to a "blasphemous!" pattern match among those whose religions tell them that dying and coming back to life is only for really important people, and a "hogwash!" pattern match among people who have rejected those religions.