If you're doing a purchase and not trying to lock in a loan or lease rate, then you're the one calling the shots on scheduling. Just don't wait too long. The earlier you get this all set up, the happier you'll be and the better the experience.
An ED is much more complex with many more moving parts than a normal purchase. I would never recommend just going to one's local dealership and talking to the first person who claimed to be the European Delivery specialist. And your local dealership CA's reaction turns it into "never, EVER". We still don't know where you are geographically, but Adrian would be a great place to start.