Poems are songs, or for musicians Songs are poems. It’s inescapable, if one can write a song then he can write a poem, and conversely if one can write a poem, he can write a song.
They were called psalms in ancient times but they still took the form of poems. It matters not what the subject matter is, and many of the lasting songs of our culture are not about puerile love, or love lost.
The Battle Hymn of The Republic comes to mind immediately, so does Old MacDonald Had A Farm. Canadian Sunset another, and I Left My Heart In San Francisco. Our National Anthem is a poem put to music.
Elvis Presley’s Love Me Tender is about love but not puerile or love lost. By the way the original title of the song is Loralie.
Poems tell stories, songs tell stories, even if very short.
Rhyming the ends of sentences in poems and songs make them sound more coherent and most consider more pleasant. In fact it is one of the signature qualities of poetry that makes it stand out from prose or other writings. These days, it is not ascendant nor vital. Mainly, I believe because the music, the carrier medium for songs is what causes the emotional response is more desired than the lyrics. And, since just about all of the considered great poetry has been issued about every kind of subject, the fact of rhyming has been to a large degree shelved. However, I see it as perhaps a matter more of literacy than preference since literacy has as much to do with the ability to express oneself fully as it does with the ability to understand what is communicated to oneself.
So strong still is the need for poetry in our makeup (songs count) that people take the names of poets. For example: Robert Zimmerman adopted the name Bob Dylan from Dylan Thomas the poet. Lullabies are poems and so are tone poems*.
We as a species will never escape the need for the aesthetic of poetry or song, since the rhythm of both is essential to and often parallels the rhythms of life.
So, create a song or a poem or both, and create some more life.
*Orchestral pieces derived from folk tales or literature.