Heh.. yeah .. now comes the kicker ...
It's arguable as to whether or not it really helps. At the moment the engine is made inoperable it may help to reduce the yawing/rolling created by the asymmetrical thrust. However, once equilibrium has been found (everything settles down) the loss in performance (you've already taken an 80%+/- hit when the engine went) that the added drag from the gear/flaps/passenger hanging out the window trying to escape may very well not be worth the "stability" it/they provide.
It's much better to fly as clean a ship as possible in a zero-sideslip condition and eek out as much performance as possible. You can much more easily "replicate" the effect of the symmetrical drag by reducing power on the operating engine a touch.