I think the blog is more fitting for this kind of project than the Archive, like Sarsion’s “Fallen Language” post.
However, it took at lot of time and effort for him to put together, and we have even less information on the Hive and Cabal languages.
The Eliksni have lots of intelligible spoken audio, and we had Variks translating in D1 to give us a baseline. We don’t have much by way of that for the other races, particularly in D1, since the Hive and Cabal do a lot of screeching and bellowing but not a lot of talking (unless it’s Oryx, Ecthar, Consul, Ghaul or Calus who speak our language).
It would be interesting to attempt a look at the other languages, but it wouldn’t be as simple as the Fallen Language project.