When the pop star Sabrina Carpenter dropped the cover art for her forthcoming album, “Man’s Best Friend,” this week, it became an instant conversation piece.

I even thought of that HBO series from a couple years ago, The Idol, which I may be cursed to be one of the only people who remembers: There’s a moment in one episode when a music-industry character suggests making lemonade of a public relations fiasco that the pop musician at the center of the show has become embroiled in due to a fairly explicit leaked picture of her.