Finally got the world record! This was a very hard record to beat. It took me a lot of attempts before I was able to save time compared to CapnClevers run in each individual level. But getting a run with both good execution and enemy RNG proved to be very difficult (boy did I come to hate the vorticon in the fourth level!)
Except for failing a few optimizations, there were no major mistakes in this run. I got off to a slow start because of sub-optimal Yorp movement in the first level, jumped a tad too high at the beginning of the fourth, took some collision and had sloppy turnarounds in the ice-level, and could have minimized the height of my pogo jumps here and there.
A realistic best possible time for me at this point would be somewhere around a 3:43.5X (I've been able to enter the final level being up to .9s ahead of CapnClevers splits). But given how frustrating this game can get because it has so much RNG, I won't try to improve this WR for a while.