I agree that we should be able to export combat recordings, but that looks like a movie (it said so at the end). Is that from in-game combat? I don't know because I don't have that game but it sure doesn't look like it.
For SE purposes, these files could be kept to a minimum size if they were made to only run in the in-game combat simulator. That way shipsets and all the other required files wouldn't have to be packaged with the video. The downside is that people without the game couldn't view them. An update to the demo with this capability would go a long way to promote the game though.
The community could also use these as documentation for instructional purposes or to show others a particularly good battle.