"I've Got a Little Song Here"

I watched "I've Got a Little Song Here" this morning and noticed what might be a reference to the Beatles' A Hard Day's Night movie.  Mike thinks that Joannie Jans is going to sing the song he wrote in her new movie and goes to visit her on set.  She doesn't know what he's talking about, however, and when he asks her, "Does the name Mike Nesmith mean anything to you?" she replies, "No, it's only a rumor; we're just good friends."  In a scene with the press in A Hard Day's Night, Paul McCartney also uses this as a stock response, saying three times, "No, actually, we're just good friends."