You’re not suggesting that ULTRA was a US development? It was the Poles and later the British who broke the Enigma ciphers. (Also the movie U-571 is complete bullshit.)
Getting back to the logistics question, from the Wikipedia article on ULTRA:
“Because he had the invaluable advantage of being able to read Field Marshal Erwin Rommel’s Enigma communications, General Bernard Montgomery knew how short the Germans were of men, ammunition, food and above all fuel. When he put Rommel’s picture up in his caravan he wanted to be seen to be almost reading his opponent’s mind. In fact he was reading his mail.”
