your beginning was terrible, I think you used the hook too slowly (moved too much to the left with it), and the positioning of it was also wrong because you had a “hard” landing instead of a “soft” one which is faster
check out my unassisted run where I get a soft landing and I think I have a faster hook by not aiming left:
https://www.youtube.com/watch?v=h9jT3Jp63vs (if you need to aim more to the left, try running to the left and then shooting straight instead of running straight and then shooting left)
after the infinite dash jumps glitch, you go straight and do 2 more (I think that’s good), then you enter the house thing with a roll and fall into the hole simply by running into it, you sure that’s the best strategy? I don’t know if doing a dash jump or simply running is better than the roll when entering in, but I think doing a dash jump into the hole is faster, try that
I think the boss fight should also be improvable, I remember that you can hit the enemy with the sword at the same time the bomb hits them, and that lets you continue the combo without them falling back away from the bomb’s blast
also, are you sure it’s fastest to do the dash jump ASAP, instead of a few frames after the dash? maybe the initial dash speed is slightly faster than the jump, but I don’t know because I’ve never tested it with TAS; this would probably require RAM Watch to see the speed address to optimize correctly
I should probably watch the published run again to remember a few tricks too…
if you’re gonna TAS the game then I’ll try to help you by watching the WIPs, good luck
edit: by the way, did you pick the hardest difficulty? I can’t tell because it goes by too fast