I liked the short a lot, but I feel like the continuity errors - and the use of Looney Tunes style action which cannot actually happen (stretching tartigrade, bulging pipes, etc) are going to make canon-nerds heads explode the same way that the fake commercial at the end of The Trouble with Edward did. Which is weird, because it was so full of Easter eggs that they were clearly going for trying to impress the die-hard TOS fans.
Basically it works great as a fanfic love-letter to the TOS era, but if it's actually within the main continuity of Trek (which I think it would have to be, as part of a Trek show) it creates all sorts of headaches for the people who can't just see Star Trek as a show, and instead think it's a literal documentary of things which happen in the Trekverse.