If you have the need to make a meeting "Private", which in this case means to NOT have the meeting publish to the internet and playback video you can set the meeting to "Hidden" or "Private" (older versions).
To do this, simply navigate to the meeting in the Harmony Admin interface.
(You need to be an Administrator to edit a meeting).
Click the Edit button
Find the Publication settings box
Choose HIdden or Private (older versions) and click Save.
Done!