If that was so, then no more melodies can be copyrighted after that group that was also mentioned somewhere else in the threads generated (essentially) all melodies, claimed copyright and then released them into the public domain. Alas, there is, even with people claiming copyright on individual generated melodies!
Again, I think the curation is relevant. You can certainly copyright a book, even though "it's somewhere in Pi". If you endlessly calculate fractions of Pi and check them for something interesting, I'm sure you can copyright whatever poem you find.