I've not watched a Rich Hall BBC4 documentary for a while, but have always enjoyed them, mostly for him and his style. In this film that was the case again, although the subject was pretty well framed and presented. It does have reach in what it is about though, and it manages to look at the Cold War in a way that takes us through the cultural aspects of it, but also in a way that explains why he asks early on: "Given the nature of basic human ineptitude, one question stands out - how did we not blow each other up?".
This is shown in discussions over events that are fortuitous at best, where disaster was averted by dumb luck, and where those in charge of the situations were not always making the best calls. He does this mostly by direct narration, whether over him talking or over archive footage. It is well edited together and engaging. As a historical documentary, it does need you to know more than it will tell you - but to be fair it sets out its stall as being within the bigger history, so it is not 'failing' in that way. Hall himself is good, although less funny than he has been in previous films or things I've seen him in - but he is very natural in this documentarian role.
Worth a look for its tone and approach to history.