Voted no for multiple reasons.
1 - The run is very short, but not because of anything related to a TAS. It's because the game is so short. There's not much room for entertainment here in the terms of normal gameplay. VERY few levels, no bosses, etc. The game itself is not very different or entertaining, so
normally it'd be up to the player to do things differently or break the game to show that this is not just a normal playthrough, but...
2 - No attempt was made to entertain the viewer during times of "simple" gameplay (that is, a straight run or carrying an item from point A to B), something that could easily be done by somebody that has complete control over the game. Check out things like this for an example of what I mean.
http://www.youtube.com/watch?v=QmpbFDc8ZCA
Auto-scrolling level, normally one of the most boring things, but made plenty entertaining here. Shows off skills and minor bugs.
On the contrary, no attempt to do fancy tricks or close-calls was made in this submission beyond the bare minimum to move past certain points.
3 - As far as technical entertainment... it scores negative in my opinion. There's a notable lack of shortcuts, glitches, or other such time-savers
that go outside the realm of normal gameplay (which is something considered important in a TAS since the point is to show how fast the game itself can be beaten regardless of the player). So there's no points there, but it also doesn't use the well-known tricks, most of which are documented on this site (including animated gifs, even), many of which could be used to speed this run up and are notably lacking (as already pointed out), so it's pretty negative there as far as I'm concerned.
I do not consider this a TAS intended to set a record. This is just a recording of normal gameplay that uses save states every so often to erase normal gameplay mistakes. This means that it could easily be beaten by anybody that's familiar with TASing, it's not going to set a very strong record.
EDIT: Edited spacing and some words and added another end sentence to clarify what I feel needs to be taken into consideration for the next submission.