I never actually got a chance to watch the full stream yet, I just saw them from the same clips you linked. Did they say anything about the origins of the shorts on stream?
Again without any context of the rest of the stream, just being read in the characters voices doesn't say much to me. In-character table reads aren't that uncommon at events like this, and those could even be totally original content that's just for fun and never even meant to be considered canon (I'm not suggesting that's the case for these, just not unexpected in general)
The three -verse terms I've heard in use are: