I look at another way: They put men on the moon by focusing billions of dollars, a huge fraction of the military, leading edge science and technology, some of the greatest scientific minds of the era, enormous amounts of real estate, espionage, secrecy, thousands of research and development and testing projects, heavy theoretical effort in universities across the nation, a focused political will, an accepting public, a large fraction of the world's computers at the time, a subset of the nuclear arms race, thousands of laboratories, state of the art communications and navigation equipment, the threat of soviet and communist domination, rigorous astronaut training for a select few supremely capable individuals using a massive training academy, some slide rules, and probably a whole bunch of things I can't think of right now.
It's not like they went up in covered wagons after a trip to the local blacksmith.
And for those of us who used to use slide rules, it's a bit of an insult. You had to know what you were doing with it, and the slide rule helped add precision to what otherwise would have been laborious but entirely tractable calculations that could have been done in just a bit more time using pencil and paper alone.