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My recollection is that many of the robots were robo-brains and harnessed the powers of a living mind. Also, instead of aiming for the eyes you'd aim for the CPU and make them go berserk. So the pre-war era had chips and didn't do everything reel to reel. As was said, maybe the data was intentionally stored in a way that made it harder to steal or access remotely. That or some general didn't want to learn a new systems, so he forced the military to keep using the same technology that he learned on when he was young.