My take on that is he did not mean it as a possession but as an endearment. I know some men that say that and that is how they mean it.
Now you may say well....how about Emily. Thats true. The only ones that really know is Brad and Emily. So to me...it is rediculous for us to keep guessing at it. I also can see if Emily ends it ...that will be it.
I have a tendency to believe people if I don't know them until they show me wrong.