The word "computer" to describe a person who does computations dates back into the 1600s, and is exactly where we got the current word.

Up to around 1940, the vast majority of the world's computers were people, and there were legions of them across all areas of government and industry.

There were around 250 total automated computers in 1955, around 20,000 in 1965, so I doubt human computers were outnumberd until the 1970s/1980s at best.