Oh sure let's get into strats a bit then! I lowkey wanted to keep those to myself until I got a run done with them but I don't have quite enough time to manage that for now so I'll share!! I'll try to get videos of it soon-ish but you'll have to take my word for it in the meantime.
Screen 3: There are 2 ways to fly through, the fastest is to get a bounce off the first or second pillars and fly right over the obstacle wall, you need perfect momentum from screen 2 however to line up a high bounce. Edit: First pillar is probably faster but is much harder (only got it once VS a dozen for second pillar).
The second way I've found is to "flat-bounce" off the second pillar and then get a bounce off the third pillar, straight towards the exit of screen 3 (Edit: see Airvent's bounce here: https://www.youtube.com/watch?v=adKG6shvgfw )
One thing to keep in mind is both those strats tend to give you either an odd path or tons of speed into screen 4 and it gets very hard to slow down and line up for the shortcut, that's the main drawback, but if executed well, I think this'd save over 2.5 maybe 3 seconds compared to your execution.
I'm still trying stuff out on screen 6 but what you could've done instead of a "counter momentum" bounce (which is undeniably slow) would've possibly been a bounce into the wall on the right then bounce back with much more momentum, or even doing so with a "flat" on the floor into wall bounce. As for a set up into the final corridor, you did it pretty well but I've had a handful of instances of winging it that went faster, can't seem to get it reliably but there is time there too.
Of course, those strats all give you speed, which makes execution tighter and obviously more difficult. That'll probably take a while with the semi-random/chaotic nature of movement in the game, , but I think we're definitely in the ballpark of 5 seconds shaved overall.
Again, your run was absolutely great, no denying that, but that's what I can see being improved.
Oh and suddenly I'm thinking about a TAS run, that shit would fly under 20 seconds for sure LOL