Oh cool! I have videos of my attempts, but I don't think I can shave 30 seconds with my current strats. Uh, to say what I already know, I know that you can basically fly over the tutorial area and that you can cancel dashes into jumps, as well as use this to get a lot of speed going up walls. I also know that you can double jump without using up an air jump if you do it fast enough (same as walking off a platform), and that if you have 3, you can use this to get past the part with the 3 cockatrices, without punching the thunderbird, but I haven't found this to be faster since 3 jumps requires too many eggs. For yuyuko I use dashes in phase 1, 2 dashes and 2 charge punches in phase 2, 2 charge punches in phase 3, and 5 dashes and 1 charge punch for each part of the last phase. (Sorry this kinda turned into a wall of text.) Anyways, if you have some insight that would be great! Also, I could show you my best time, but I think I'd have to upload it to youtube in order to do that, so it might take a bit of time.
Tough to come up with advice until I can see what you've already got, might be a skip you missed, perhaps? Other than that, the biggest time saving tech I was gonna offer is that you can do this with very precisely timed dash-cancel wallruns, but you might already know this haha
I'll post a link to a Youtube video of my best run, but I want to get my time down a little first since my current best still has a lot of mistakes.
