In order to do the previously thought TAS only The World early exploit, some precise steps need to be taken.
Before starting the game, wait until the door opens on the title screen, this will manipulate RNG for the Stone Mask drop. Once the game starts, clip through the Joestar mansion without speaking to Jonathan. To do this go to the entrance of the manor and do a backwards running kick. To do a backwards running kick, do a running kick, and in the middle of it turn around. Danny will rubberband towards you, as the kick usually triggers the cutscene with Jonathan. This will cause Dio to not be in the cutscene. The game registers this, and skips to the next episode. This is because the overload on the hardware after Danny gets rubberbanded towards Dio, and the cutscene starting without Dio. The Stone Mask will be on the ground. Pick up the mask. The cutscene in the Joestar Manor will start. If you walk over to Jonathan and cut off his head with the knife, the game will register this as a skip towards part 3, but the game has not checked for the completion of part 1, so you will have the part 3 powers in part 1. This is because of the frame rule during part 1.
This exploit is helpful during the final Jonathan fight, and most speed runners will stop time and kill Jonathan right there.