It somehow took only a week and a half of grinding after first picking up this game, but I managed to beat Fancy Pants World 1 in under 2:20, something I imagined would take potentially months.
As for the run itself, it is near perfection except for an extremely dumb timeloss of about a second by not going in the door immediately at the end of level 2. Apart from this, minor improvements can be made with a more aggressive spring jump at the beginning of 2... and that's it when it comes to skill-based strats. Beyond this, pseudo-RNG strats such as second platform recoil jump in 1, super jump also in 1, and low-quality jump in level 2 are the only real ways to save time.
A 2:17 is probably attainable with pure skill, and a 2:14 is possible if skill and luck both go your way. I may go for the former eventually, but for now, I'm taking a break from World 1 to try out World 2, a longer and more skill-based game at a high level.