They're both so on the nose that I don't care much for either as a song, much less in a movie. Love Hurts is the better song while Everybody Hurts would be a bit less intrusive in a movie.
Love Hurts seems to have been bastardized more by commercial jingle parodies and such. I think there is a cutoff somewhere around before 2000 where love hurts can appear in a film without being overtly corny.
That and Everybody Hurts enters the picture more slowly and softly. Love Hurts really lets you know right off the bat what it's in the movie for.
But yeah, commercials have undermined many a song...
No nineties high school movie wasn't complete without this.