A childhood belief about radio

I used to believe that the names of the singers were actually the names of the DJs, especially since it was usually a woman "That was so-and-so singing such-and-such song"ing a song sung by a woman and a man "That was so-and-so singing such-and-such song"ing a song sung by a man.
Of course in my head, the DJs were saying "This is so-and-so and that was such-and-such song" instead of "That was so-and-so singing such-and-such song".
Never did figure out why they never said the names of the singers but kept on telling you who *they* were.