For anyone unaware of the differences, I'll list them briefly:
- Solo Kid
These categories should preserve what the leaderboards looked like before the DLC released. All the work getting Any% and ATP to where they are now won't go to waste just because of a patch. But if any new patch is found to be faster than old patches, those are fair game in these categories as long as Coop mode is never used.
- Bow Kid
The Coop release allows for a lot of neat tricks that didn't used to be viable or possible. You can leave one Kid in an important place and then go do stuff with the other, then switch back to the first Kid to save backtracking. You can also spawn Bow Kid inbounds behind thin walls and doors with certain setups. These kinds of tricks drastically change the run and so aren't fair to compare to Solo Kid. In Any%, using Bow Kid 1p2c would save ~30s over Solo Kid. Also note that Coop mode is a base game mechanic, and thus does not require the DLC to be installed. This is the reason ATP has a couple extra splits compared to Any%.
- 2 Hat Kid
This refers to playing the game on the Modding Support Patch with the Seal The Deal DLC installed, aka Mod+DLC. Basically this tricks the game into activating many features which, when the Mod Patch was released, were still in development and very unfinished. Obviously this introduces many bugs and unintended behaviors not present on any other version.
The most notable of these is that Coop can be enabled in the pause menu, and when enabled a second Hat Kid spawns. The second Hat Kid can move while the other is doing actions which would normally lock out movement for both characters, such as entering a Time Rift, grabbing a Timepiece, or opening a level select telescope. Additionally, the pause menu is accessible and functional virtually anywhere, allowing Back-to-Hub instantly after grabbing almost any Timepiece (saves at least 6s each, more in case of Time Rift roulettes). Just in Any%, these tricks would save upwards of 3 minutes on any other version of the game, Solo Kid or Bow Kid.
It is much easier to cheat on emulator. Load times are non-trivial, as the amount of time needed to be added varies wildly based on hardware. Emulator settings would need to be standardized. Emulator bugs make the game behave very differently than console in certain respects.
It's not like Gameboy or N64 or SNES where the emulators are basically perfect and load times aren't a thing. The closest Dolphin has come to perfectly console-accurate representation of a game is for Melee, on the specific branches of the program optimized specially for Melee.
If Dolphin was better than it is I'm sure we would already have this. But there are enough bugs in the emulator, and load times are so widely varied on PC (especially compared to console), that there's not a good reason to want to add it.
I can't see many main or misc categories emerging from Yarn or Rift Tokens, but I'd be super interested in Bingo which incorporates goals like "Acquire X number of Rift Tokens" or "Craft the Time Stop Hat"