You're close. Not 'white goth'...

Pastel Goth:

Arguably many variants of the older, harajuku gothic lolita style can/have also been done in primarily white or lighter colors.

This is a more modern dress and pic, but I think you could find examples of similar going back to at least the 90s:

... there's also now... clown core, and clown goth, but ... just no, nope, you're gonna have to personally choose to look for that, I'm not just gonna force you to see it.

EDIT:

I suppose if we carry forward trends in PC case styling... to fashion... well, we would somehow have to end up with dresses or suits with wood grain pattern elements or accents.

... Not sure if that exists yet.

Can you make a ruffled fringe out of wood, lol?

Or like, wood grain patterned corset, you know, the trunk?

Leaf ears instead of cat ears?

Bonsai Core? Bonsai Goth?

Ok, pretty sure I'm delerious, time for bed now.