NigelC: I worry about sending the camera for repair to Japan as well; however, in the past I sent cameras to Colorado without a thought and frankly sending them to Japan or Colorado isn't all that different in today's world.
Big difference: you're sending it abroad, not to another state (assuming you live in the US). At least in Europe you're liable for customs and duties (and even VAT depending on your tax status) when you get the camera back unless you can prove it was sent for repairs
and that you've paid your customs and duties. I've never done that so not sure how convoluted the bureaucracy is. This adds extra time and hassle, probably at both ends (sending and receiving) - dealing with bureaucrats is a sloooooow and painful process. You could have a shipper like DHL do the logistics for you, but that adds cost.
If you brought the camera in your carry-on luggage, didn't declare it, and managed to avoid customs, then send it back for repairs and get caught, you're in a world of hurt (fines or court for tax avoidance, smuggling, eating babies, etc.). Oh, and the same applies for getting caught bringing it in without declaring it.