The computer in TOS was almost horrifyingly robotic. It was used sparingly by the crew, and technology was generally seen as a necessary evil (there was even an episode where a new computer system threatened to take away Kirk and co.'s jobs).
It wasn't until TNG that the computer became a friendly, integral part of the Enterprise. The crew widely acknowledged and were comfortable with the fact that the computer could do all of their jobs, but that never became an issue.
This shift corresponds with the rise of the personal computer away from mainframes, and the replacement of blinking lights with GUIs for depictions of computers in film and television. I will now resist the urge to credit Apple for helping usher in such a shift in culture.
I'm not sure the computer could do all of their jobs. A lot of their jobs were judgement calls, often based on "gut feel". I never got the impression the people there were completely redundant.
"The crew widely acknowledged and were comfortable with the fact that the computer could do all of their jobs, but that never became an issue."
...until Barclay became the computer (and could presumably do all of their jobs at the same time), though that didn't last too long.
https://www.youtube.com/watch?v=g4AEBiyn8Rs
It wasn't until TNG that the computer became a friendly, integral part of the Enterprise. The crew widely acknowledged and were comfortable with the fact that the computer could do all of their jobs, but that never became an issue.
This shift corresponds with the rise of the personal computer away from mainframes, and the replacement of blinking lights with GUIs for depictions of computers in film and television. I will now resist the urge to credit Apple for helping usher in such a shift in culture.