Those telephone systems still work because someone knows how each part works.
I'm more than confident that - if you actually went down to AT&T HQ and really dug into the weeds - you'd find blind spots in the network created by people leaving the company and failing to back-fill their expertise. Or people who incorrectly documented this or that, forcing their coworkers to rediscover the error the hard way.
I think we do underestimate how many systems are patched over, lost in the weeds, or fully reinvented (by accident or as a necessary replacement) because somebody in the chain of knowledge was never retained or properly replaced.
I would be very dubious of the theory that anyone at AT&T could recreate their system network from the 1980s, without relying on all the modernizations and digitized efficiencies, for instance. No way in hell they could reproduce the system from the 1940s, because all that old hardware (nevermind the personal) has been rendered obsolete ages ago. But I'm sure there are still lines in the ground that were laid decades ago that are still in use. Possibly lines that they've totally lost track of and simply know exist because the system hasn't failed yet.