@mykie also, I'm neurodivergent, and I need to be touched by a song, with or without lyrics.
But in particular, if there are lyrics, then I tend to get whether the artist has added them for a reason or just as another musical component. Sometimes I do enjoy the rhythm, the sound of the words even without following a meaning — most times, if they don't give me emotion, I leave.
The fact that I need a message might be idiosyncratic, but I don't expect it to be a universal rule.