Something you are not taking into account is that after the war
Britain collected all the enigma machines they could get hold of.
They gave them away without telling the the recipients that they had
cracked the machine.
After the war a number of Collesi were moved out of Bletchly Park to
the new Code and Cypher school. I suspect that one came to Canberra.
If the Arab countries received Enigmas, Britain could have been copying everything.
No doubt the techniques used on Enigma were
applied with the new mainframe computers.