This would be great if you wanted to talk to yourself without anyone understanding what you’re saying, for example, or if you didn’t want anybody to know what you were writing down. It might also be useful if you enjoy lots of foreign language media (see music, tv shows, movies) and want to experience the “original” rather than through dubs and subs.
Personally, I would go for either Russian or Estonian, both of which are because I frequently listen to lots of music that are in those languages, and they aren’t spoken by any of my friends.
“The most developed Non-fictional language that isn’t used by any life (or system created by said life) native to this solar system.”
It’ll either return the magic equivalent of a 404 error, or I get some absolutely ground breaking confirmation / become a human Rosetta Stone to get a jump on first contact!