Allen, lots of song titles and album covers were not chosen by the artists, but by producers. So, should we hold the producer's choice against the artist? And plenty of examples have been posted on this board of covers that don't well represent the music, to say the least.
OTOH, Thad's A Child is Born lives up to the schmaltz of the title.
I'm wary of titles in general, and I know how arbitrary the choice can be, as well as deliberate at times. But I think "programmatic" titles can lead the witness in bad ways, hence folks assuming that there's something inherently "spiritual" (a word that's like a Rohrschach test anyway) about the MUSICAL CONTENT of A Love Supreme. I wish Trane had called that piece something like Paper Toilet.