I like this idea. In fact another possibility is to have a thread-local reference count for each thread that uses the object which can use fast non-atomic operations, and then each thread can use a shared atomic reference count, that counts how many threads use the object. When each thread-local count goes to zero, the shared count is decremented by one.
This way, if an object is created in one thread and transferred to another, the other thread wouldn't even need to do a lot of atomic reference count manipulations. There wouldn't be surprising behavior in which different threads run the same code with different speed, just by virtue of whether they created the objects or not.