Classic rock fans have long pointed to “Mr. Roboto” as a turning point for Styx. But is this polarizing 1983 hit really to blame for the rift followed between Dennis DeYoung and the rest of the group?

While it’s one of their best-known songs, both the song and the album it comes from, Kilroy Was Here, mark a controversial period in Styx history that led directly to the departure of guitarist Tommy ...