Maybe, but remember that there is a huge practical problem with all of these systems. You have to get your Enigma machines and processes and papers and trained officers and technicians and informed generals and couriers and radio listeners and everything else all set up, and then if you find out that there is a security failure, there's a massive institutional inertia not wanting to change anything that you're going to have to overcome.

So the British listened to the Germans, the Germans listened to the Russians, the Russians listened to the Americans, the Americans listened to the Japanese, and the Japanese listened to the Native Americans. I think the super-duper-ness of the Enigma system is mostly propaganda. For a couple of years early in the war it was a pretty stupendous effort, and then the weirdo English mathematicians and chess players were replaced by massive brute force computers over in the U.S.

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