1. James Webb is in the Earth-Sun L2 point, where it is largely (though not completely) shaded from the Sun. A radio telescope at Earth-Sun L2 wouldn't be shaded from Earth RF. [edit: JWST is in a halo orbit which keeps it out of the shadow]
2. The Earth-Moon L2 point is shaded from the Earth, but not the Sun. So no benefit compared to the far-side lunar surface.
3. According to TFA, being on the lunar surface gets the telescope out of the solar wind, which is noisy at the low radio frequencies being observed.
Another reason could be testing for building a much large radio antenna on the moon's surface in the future which is mentioned to farther down in the article. The moon itself and it's dust has electromagnetic effects that might effect measurements and learning about them now could help future planning.
TLDR: As a result of expansion of the universe, over 13B years the wavelength of neutral hydrogen signals has been stretched from 21cm to 'tens of meters'. On Earth, this part of the spectrum is cluttered with noise from Earth and Sun. For 14 days at a time...not a problem on the dark-side.
> A series of test images shows the fully illuminated “dark side” of the Moon that is not visible from Earth.
> The far side of the Moon was first observed in 1959
[0] https://science.nasa.gov/earth/earth-observatory/the-dark-si...
Personally, I don't find the phrase 'fully illuminated “dark side”' to be a convincing alternative to the physically more accurate term 'far side'. Of course NASA has only just emerged from the Earth's dark side as I write this (UK here, mid-morning), so I'm not expecting an immediate response from them.
And yes, I do know that 'side' is itself not entirely accurate because of libration [0] but that's a different hill to die on.
The far side is the darker side, though, at lunar night. Poetic proof: "The Earth shine might illuminate the light side of the Moon a little during the long night" (from Jules Verne, All Around the Moon https://www.gutenberg.org/cache/epub/16457/pg16457-images.ht...)
The far side is darker during lunar night (lit by starshine only; Full Moon on Earth) than the near side during lunar night (New Moon on Earth), because it receives both star- and max. Earthshine.
I'm not sure about Crescent Moon though: that only narrows the brightness gap slightly, right? Or I’ll have to ask if there’s an astronomer on board our flight.
That's not helpful, at all.