How do we know for sure that one engine was not already out and the pilot was expediting the trip home, perhaps on AP and then when the second engine quit the AP just tried to continue the flight?
Chopjock - in normal flight on the 135 the AP is always engaged, (helpful yellow caption if you forget) however I doubt few of us would engage the upper modes e.g. HDG, ALT etc. and sit on our hands in the event of ending up in a OEI configuration for whatever reason, even less likely 1 or 2 miles from base.