I believe the response to a rapid decompression at cruise is to push the nose over hard into a banked descent. I can imagine pilots initiating the emergency descent maneuver at same time they dial in a heading and lower altitude,
This was discussed at length earlier in the thread. On the 777 it is not a "push the nose hard over" screaming dive, it is ideally performed with the autopilot "in", and Boeing do not make it mandatory to change heading (left or right).