Not so fast, JoshingWithYa! (Time: 12.47998)
Edit 1 (the previous edits were uploading the image): Waiting for someone to post a new Toucan time.
Edit 2: Got a new time. Sub 12!
Edit 3: Sub 11. Hope Sub 10 is possible.
I haven't done this trick myself, so I don't know if it would work, but that last lift from the screen is probably losing you some seconds.
I reckon if you use the fan to lift yourself high enough, you could bounce off the right ceiling of the second-last screen to gain faster momentum downwards for that last screen, if that makes sense?
I've gotten slightly faster without using this, and the only other difference I've used to your video is using four bounces on the first screen to gain better momentum for the future, but i think the first trick would help better.
I tried start off by doing the first bounce as angled to the east as possible. This allows me to get more height off the 1st wind current, but it doesn't always work. To get more consistency, I do a "side bounce" (bouncing off the non-bouncy side) before the first actual bounce to get smaller upwards momentum off the first bounce.
Getting more height allows me to bounce off the ceiling for more speed, but I don't wanna go "out of control" which is why I get less height at the 2nd wind current because bouncing off the ceiling off in the east 2nd room is not my speedrun strategy.
3rd and 4th rooms seem to be the same, but at the 5th room, I do the "goodnameshavej" trick.