An intresting idea, bflyer, but one to be approached with a great degree of caution.
One must avoid imparting negative training when using a scheme like that, and that is very difficult to do! Upset recovery techniques can vary widely, especially in the FBW world, and the last thing that we want is a crew in an Airbus not burying the stick aft to avoid terrain because some small part of their subconscious is linked to a Lear jet where that would overstress the aircraft. The law of primacy comes into play strongly here.
Upset recovery training itself can be a double edged sword - let us not forget the lessons of AA over New York in an A300/310. While certainly not the consensus, there is a feeling among many that the upset recovery training provided to the crew was a major contributor to the accident.
The lesson always seems to be this: know your aircraft, be it an A340 or a Sopwith Camel. Know its systems, its automation, and most importantly its limits. Know the SOPs cold, and keep up to date with the latest regs (i.e. strategic lateral offsets - deliberately flying slightly offset in certain airspace as described by the original poster).