If I get into a car in Mississippi and drive at 65 miles an hour north to Ohio... when I get to Ohio and step out of the car, I've actually just broken the laws of physics and warped that distance instantly. I never moved. I sat down in my car, sat there for 17 hours, and then magically appeared in Ohio when I opened the door. This is the same effect you're describing with the carrier. You're definitely not moving and have a 0 velocity.
I believe that's correct... or maybe it's all just relative?