Since when does Zelda have any running moves that don't electrocute? Or have any other ground attacks with her arms outstretched at both sides? Her dash attack and most of her other tilts and smashes are shown in the video and look nothing like 3:01's move. Besides, there's obviously a blue prism surrounding her momentarily.
Now I KNOW we're watching different videos. It looked like she did her DAir once, in the middle of the ring, because the sparkle explosion was underneath her. However, her NAir, which was at 3:05, near the lfet side of the ring, has a very different animation from what you recalled to be her DAir. Sparkles are coming from her hands while she's in the air, and she's twirling around after a short hop.
First she's fighting cloud-like enemies and she UAirs it, then the scene changes. She then runs and does Nayru's love on a primid to her right, dash attacks a primid on her left, up smashes a primid on her right, short hops and does her NAir on the same primid, up tilts them next, and then her and Mario KO it at the same time, ending the battle.
The one I'm watching is from the first post. It's the complete version of the battle with a fairly better angle.