I noticed that I've been running version 1.02, is there any difference for running on this version.

Not that we know of currently. Still trying to investigate this.

I am playing on a german ps4. i dont know if there are any differences between PAL and NTSC but when try to do the skip on quartu with the tubes i cant even reach the right amount of height, ive tried this a lot of times. compared to raikaru's speedrun, my jump seems way lower

do you have fast game speed on? gives you extra momentum.

realized that after the post that was the problem :) Just wanted to add that UPDATE VERSION 1.03 FIXED BATALIA WRONG WARP! I think its some kind of wrong warp xD at least you get warped to a wrong spot. had to delete the udpate files but now it works again. for everyone who installed it accidently, Press start on the game and delete it. Hope you have a physical copy xD