This is correct, unlike my assumption of a shorter cable above. OTOH due to lower gravity, the tensile strength required is still much lower. To quote the very article you lonked:
> the engineering requirements for constructing a lunar elevator system can be met using currently available materials and technology.
So what you are saying is that a space elevator is theoretically possible. I think that's step 0 in building something. Being theoretically possible is the most basic prerequisite.
Just because something is theoretically possible doesn't mean it's feasible or practical to build in real life. For example, we have known that it's theoretically possible to build vacuume sealed trains, aka the hyperloop, since before the first airplane took flight. And yet whilst you see planes fly everywhere, you don't see any vacuum sealed trains.
> the engineering requirements for constructing a lunar elevator system can be met using currently available materials and technology.