The problem with using a compression algorithm is that lyric repetitiveness does not always correlate to musical repetitiveness. "The Wreck of the Edmund Fitzgerald" is the same chord change over and over, but the text would not compress that well. On the other hand, in "South Side of the Sky", Jon Anderson sings an awful lot of "la, la, la, la", so the lyrics would have a high compression ratio, but musically the song goes all over the place.
Focusing on the lyrics doesn't tell you the whole story. It misses out on the fact that many pop songs are composed of more or less a single loop on repeat. "What About Us" by Pink and "Havana" by Camila Cabello would be two really good examples.