It might be hard for younger people to understand - but when films like The Terminator [1984] were made, this kind of thing had battered the news for decades, probably since the cuban missile crisis. The movies talked about a near future that many fully expected to happen. The endless hysteria and doom-mongering were enough to make many weary of the always-about-to-happen nuclear war, or devastating consequences of just having nuclear weapons around.
In fact game theory informs us quite correctly why it was never a really serious threat.
Anyone who grew up in that era will quite rightly be highly cynical about the advent of nuclear war.
I'll leave it to the curious reader to perhaps imagine what hobgoblins are used to scare the young and naive these days, now that global thermonuclear war is worn out, and only useful for spoof spy movies plot points.