I thought I saw what looked like Bair or a Bair during the stage morph section showing Umbra Clock Tower morphing into the Paper Mario stage from Smash 3DS at 12:56 of the archive video:
https://youtu.be/P-kQWJrjRV4?t=776.
It's hard to see since the scene cuts from the previous section with Smashville morphing into Luigi's Mansion to the next section where Wolf is in the middle of doing a Bair off-stage and inside the stage's platform. It's probably Bair since his back is facing the screen and he's kicking with his right leg towards the left while with Nair, his body is facing the screen and he's kicking with his left leg towards the left. Use the frame by frame viewer to check this.
Another hard to see thing since morphing is fast forwarded in the video is that Wolf still has Fire Wolf or whatever it's going to be called in this game. Right after Wolf does Bair and disappears below the platform of Umbra Clock Tower, he does Fire Wolf to get back up and enters into freefall before landing on the Paper Mario stage and getting hit by Palutena. Wolf then does a backwards footstool off Cloud, jab combo when he lands, an empty forward jump, lands, and then turns around before the scene ends. Everything up to jab combo happens during the fast forward, so you'll need to go frame by frame or slow the footage down to make it easier to see.