CHICAGO — The New Orleans Saints have now lost the last eight games they’ve played when Dennis Allen was on the field. Seven of those came last year, when Allen was head coach of the Saints before being fired. The eighth came Sunday in Allen’s first season as defensive coordinator of the Chicago Bears.

Much of the talk surrounding the Chicago Bears this offseason has been about the offense, and the expected improvements that will come thanks to Ben Johnson’s arrival, a rebuilt offensive line, and the additions of a handful of talented pass-catchers for ...