This film, about how "boffins" contributed to the English war effort (by inventing airborne radar and other technological miracles), was made to help everyone cheer up and keep that upper lip stiff during the hard post-war recovery years.
The real delight in watching it from 50 years distance is in the acting, writing and direction. We have grown used to seeing the likes of Richardson, Huntley, Hordern, Attenborough, Laurie et al in "feature" roles (nay, on display as museum exhibits). Most of them are now gone, but when this film was made--at the hand of the incomparable Peter Ustinov--they were in their prime and they were playing main characters. It is a little like the days "when gods walked the earth".
The delight in this film is not in the plot (although it is a sobering reminder of just how much technology has moved this century) but in the language of the Ustinov script and in the effortless way that the principals go about their craft. I doubt that any of the four knighthoods given to director and cast were for this film, but one can see in it film why they achieved this recognition in the end.
"School for Secrets" remains, as I am sure it was always intended to be, a "jolly fine" cheer-up story.