The original question asked about what happens to alternate data streams when the file is moved.
The alternate data streams are associated with the file. If you move the file, the alternate data streams move with the file.
Of course, if you move the file to a drive that does not support alternate data streams, then they are simply lost.
But the question now is somewhat different, and asks about what happens when the file is deleted.
Again, the alternate data streams are associated with the file. When the file is deleted, so too are all alternate data streams associated with the file.