Hooktail Castle Stair Climb (HCSC) was originally performed using some interesting tech with Koops (   • Hooktail Castle Stair Climb (Remote S...  ). The trick has been possible with a Super Jump (   • TTYD: Hooktail Castle Stair Climb (wi...  ) since they were discovered (   • Paper Mario: TTYD - Super Jump (Levit...  ): you could get Jump Storage (JS) elsewhere and use tube mode to preserve it while going to this room, or simply game over and then load a file saved in this room. New tech found by SolidifiedGaming (   / solidifiedgaming  ) lets us get JS using springs and switches, under certain conditions. The HCSC method in this video still requires Yoshi and Bobbery, but cuts out the need for tube mode.

First, I hit the switch and stand on the moving block. You can use Koops or Bobbery for this, as usual, but I showed off the TAS method since it's cooler. From here you want to either hover or fall onto the switch, and pause as you land on it. Unpause, and there is one frame where you can dismount Yoshi and obtain JS. Then hit the switch using Bobbery (using Koops would remove JS), ride the block, and hold left at the top to walk up the step and do the Super Jump.

This is the fastest way to do HCSC at the moment, but since it requires Yoshi and Bobbery it's only useful in categories such as 100%. There's still no way to do this on the first trip through Hooktail Castle in Chapter 1.

For consideration in RTA runs: you can also use the spring at the entrance to Hooktail Castle to get JS. You lose time travelling through the castle since you can't use Yoshi, and instead have to use tube mode to keep JS. However, you can make attempts at attaining JS much more quickly, and it's easier too.