It is far fetched, ChickenHouse.
Two problems - the first is getting out without toppling the applecart and the second is what happens then. Maybe someone with a similar a/c in still air conditions will set themselves up for us - take their feet off the rudder, their hands off the stick and see how long it flies itself for. With a newish aircraft well trimmed, I'd risk a fiver on ten minutes under good weather conditions before a disconcerting descending turn to the left starts up.