That video sure is helpful. I'll admit a text explanation would have only gotten me halfway there. Mine is so rusted together, that without knowing which piece is on which half, and where the threaded section is, I would have just pulled and twisted to no avail. I can pause the video and look at exactly how the sections come apart.
Now I've got mine soaking with some penetrating lubricant for another go at separating them shortly.
Thanks!