Like you, I am weird in believing that same thing. Sadly, we are the minority. Last time I asked, the community consensus was that if it can be sung along to, it is a song. In MB parlance, that means it has lyrics.
Do not resist, you will be assimilated
ETA: and to demonstrate that this not a totally invalid viewpoint, consider Black box, who were sued for sampling Loleatta Holloway’s “Love Sensation” and who re-recorded the song with the same lyrics sung by a different artist.