How many more wars?
As for 'if the Germans knew about it." is the classic understanding of ww2 crypto. Germany trusted the machine, upgraded it a bit and had all its spies turned.
Lets take Normandy. Army Group B has some idea, Pz Lehr Division was moved, Germany had a spy near the British ambassador to Turkey, the Royal Navy had lost aspects to its low level codes, British railroads codes had been lost by late 1943, the German airforce saw changes in US and UK practice traffic, US Transport Command lost its codes, US M-209 and M-138 strip traffic was not totally secure, the A-3 A-3 speech scrambler was not so great, the Polish government in exile had code issues, a few German spies still existed in Sweden and Portugal, SIS-SOE agents where under watch in France
ie Germans moved units to Normandy.
As for "Enigma type machine encrypted messages" post ww2, the Soviet Union had a good understanding of the UK via humans. The Soviet Union was also moving to much tighter one time pad use as it fully understood its code reuse was a huge fault. But they had so much intel to send, they had few options but to risk it.
If govs cant get to one main code, they go for the weak ones, they go for people, they go for the weak codes that get used all day in sloppy ways.
For all the Enigma faith, Germany seemed to understand something was not perfect and worked hard to try and stay ahead.
New rotors, wheel permutations, random indicators, protections to counter cribbing, CY procedure, Uhr device, the UKW-D reflector but it all failed as cryptologic security was so split up. But people keep the old WW2 stories about Germany, Russia, Finland, Australia, Japan code work as just been all safe or all broken.
Post ww2 is filled with new advances and attempts by the UK and US. All very interesting, great in the new history books as more papers are released.
So for that Enigma vision we all give up our rights via an oath to authority for generations?
The talks did cover the authority and rights, press aspect in the last 30 mins.