Topic on Template talk:Video
This was a surprise -- the underlying templates that actually assign property values based on the parameters did not actually do so for 'always on' states.
So while the game page itself was properly filled out and the list page was correctly set up, the missing piece in the middle was that, well... No page actually got the 'always on' value set for any property... Whoops!
It has now been fixed and Teardown appears in the list as well. Thanks for making me aware of it. 👍