Hozier’s “Do I Wanna Know? (Live at the BBC)” is such a big streaming hit, the Arctic Monkeys cover brings his self-titled debut album to the Top Streaming Albums chart for the first time.

His self-titled project, which introduced him to the world, is his first to make it to that huge number on the list of the most-consumed albums in the U.S. Hozier—the album—actually falls as ...