Haven't read the other responses yet, just wanted to post my thoughts without being "influenced."
A lyric is a lyric -- words that are associated with some music with a melody and rhythm associated with them. Generally there is a rhyme scheme, but not necessarily. On top of that there are all manner of rhyme that plays into lyrics - complete rhyme, partial, multi-syllable, internal rhyme, end rhyme (this is the kind you are probably referring to above) and others. Many lyrics if they use a particular rhyme scheme in Verse 1 follow that in other verses. This is to help make the song memorable.
I don't think not having a rhyme/rhyme scheme creates a series of confused statements, because there also should be rhythm and meter associated with the lyric as well. Now if a particular lyric has none of those things and is not in a standard song form, them yeah it could easily be described as a series of confused statements, just as each line might be if the words were arranged randomly.
Still if each of the lines conveyed some message, some feeling, there still might be some point to the song if the music had a good beat and you could dance to it......let's see what is they call that genre....
KAC