Well, let the cable be weightless, inextensible, ultra-thin and extra-strong. Well, explain to a person who did not teach physics well at school, and he completely forgot what he knew - if we lift a load onto a station, then, roughly speaking, we pull this station off the orbit by a rope. So, or not? A permanent orbit correction will be needed and a significant part of the cargo will be fuel and oxidizer. And the atmosphere? Well, the station in geocentric orbit, relative to the Earth and the atmosphere as a whole, is stationary, the cable with cosmic velocities will not cut the air, but there is also quite strong wind. And the cable, albeit a superfine one, has some kind of sail, too. For some reason it seems to me that in terrestrial conditions this elevator will not work very well. If on some asteroid, then - yes, most likely an irreplaceable thing.
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