I'd be on board with a program like that. I know plenty of military personnel that have taken advantage of European Delivery Programs. When I was stationed in Germany, it was common to buy European cars and use EDP to effectively ship two cars back without having to pay for shipping on either one (yes, the truth is you're paying to ship the one you bought, it's just rolled into the price and financing). You're only entitled to ship one car each way on military orders.
So EDP gives a manufacturer another way to tap into the sizable market of U.S. military personnel serving in Europe.
I'll be retired by the time I'm seriously weighing the option to buy a Giulia (right now I need to secure solid post-military employment before I commit to a new car). Timing wise if I could hop over to Europe and drive my new Giulia around Italy for a few days before hopping back, I'd jump at the chance! No doubt my wife would as well. We got down to Italy a few times, but still have plenty to explore (Amalfi Coast, for example). This would make a great excuse!