What comes to mind when the word “goth” is spoken? Is it Tim Burton films? The pop star Billie Eilish? An adolescent phase marked by black nail polish and nihilism? Or is it a lifestyle?

And yet, more than 40 years after The Cure’s second record, “Seventeen Seconds,” cemented the group’s status as talented purveyors of dark and sinister sounds, goth is still at the heart ...