OTOH, there are other sky hooks that this would make much more effective. (Not all of them require the strength required by a space elevator.)

FWIW, my favorite is the PinWheel, which is basically a massive object in orbit that’s rotating, and has long cables (arms) extending from it that reach into the upper stratosphere. You fly up to it in a high flying airplane with a detachable cabin. The arm locks onto the cabin, which detatches from the airplane. The rotation of the pinwheel lifts the cabit into space, and it detaches at the right place to rondevous with a space ship. This saps rotational energy from the PinWheel, of course. But on the return trip it regains the rotational energy by lowering the cabin into the air. At the bottom of it reach it turns loose of the cabin, which is either picked up by an airplane, descends on a parachute, or glides to earth, depending on the design.

This would allow the cables to be safely made a lot longer, which would improve things dramatically. Either that, or it would allow the handling of much heavier cargo. Equally an advantage.

This isn’t as cheap/pound as a space elevator, but it’s the same order of magnitude, and it’s a lot easier to build. And variations can be used in lots of different places to make trajectory adjustments. (I.e., it has uses beyond planetary orbit.)

But note that the article didn’t compare the strength to, say, spiderweb. It just said “stronger than previous CNT fibers”. What was being emphasized is small wires that wouldn’t break in normal use, with a bit of emphasis on electrical conductivity and flexibility. Quite useful, but perhaps it’s not near the strength lone nanotube. Just a LOT longer.