I am not sure of a name for this category but the point is to beat the game casually but after moon you go back to every kingdom you just visited and collect the same amount of moons but in post game (you can skip kingdoms with 0 moons like cap and cloud).

what restrictions would there be on what you can do in the main game? because otherwise you can just get really out of the way moons + do world peace to leave the fastest possible moon set there, whilst other people won't have the same moons available? or is that kinda the point

That's called NG+ and has been considered in the Discord

I think you can choose which kingdoms to world peace and which one you shouldn’t. Like maybe it’s fast to World peace Sand kingdom but not Seaside kingdom.

It would be fast to have peace in all kingdoms, so that you can get moons from the moon rocks and just generally have access to more moons. Story moons are typically slow anyway because of the long cutscenes

I just did a run of this category although unfortunately, I can't upload it until tomorrow. But when I do upload it and show it on this form what do you guys think this category should be called? I am thinking There and Back% but I`m still not sure.

I got a run of this category. I really enjoyed playing this and I hope the moderators see this and add this to the leaderboards.

I suggest the name NG+

I agree. That sounds much better compared to There And Back%