"Heathers" was a satiric black comedy, not an instruction manual
One of the subplots of the delightfully twisted 1989 movie "Heathers," which I last saw probably right after it came out on video, was, if I remember correctly, the notion that a pop song called "Teenage Suicide (Don't Do It)" could actually convince kids not to commit suicide (and hit No. 1 on the pop charts). Now, this subplot was taking place against the backdrop of a plot in which the main character and her boyfriend are killing off other students and making those deaths look like suicides, but the movie's tone with respect to the song was pretty clear: it was inane.
So I'm pretty sure the people making this public-service announcement either didn't see "Heathers" or didn't get it if they did.