It’s hard to imagine two films more different than Elvis and Priscilla. The former, directed by Baz Luhrmann and released in 2022, charts the rise and fall of Elvis Presley on an operatic scale, zeroing in on his complex relationship with his manager, Colonel Tom Parker, and presenting him as little less than pop’s greatest martyr. The latter, written and directed by Sofia Coppola, based on Priscilla Presley’s memoir and released in the UK this week, is dreamy and intimate, focusing on the life of Priscilla as it related to Elvis, her partner of 14 years during the peak of his career. But which hewed closer to the facts?