We think it would be hugely beneficial when Circulating composer articles which include video media items to include some workflow to also publish (in the future - Circulate) the video media contained to the same site.
Our current workflows allow for easy cross site sharing using Circulate, but if the video media contained in the article is not also published to the website being Circulated to, the video does not appear on their version of the article.
This challenge only exists for video media. Photo media items do not rely on published websites.
Thank you for submitting this idea, Clay. I've shared it with the Video Center team as well and added it for future consideration.