[...]I haven't solved it from jumbled yet, I had great suspicions about the difficulty of changing the orbits of the Chiral Pieces, and it sounds like they were warranted.
It wasn't terrible difficult but I was mid-way through the reduction when I started the chiral pieces and I wanted to maintain my work. The orbits ended up being quite a brain teaser and took a ton of time. You should give it a try
I solved the jumbling when it was unstickered, and that was tough because, unstickered you immediately lose your bearings. The jumbling was very difficult and my method for the last few pieces was nowhere near as neat or pure as yours.
This was my first 2-layer "master" jumbling puzzle I've tried to solve so it was somewhat new but I have an unfair advantage in that I've solved the Unbandaged Helicopter Cube so many times that I can spot all of the HC jumbling cases really fast. For the unjumbling I mostly paired up the jumbling in the slice with the jumbling of the outer part and then unjumbled them together. This was a neat challenge. I didn't pair exclusively though, sometime I handled just the outer or inner jumbling all by itself when I couldn't find a way to pair it up.
For some really strange reason, I find unjumbling an unstickered puzzle easier than a stickered one. With jumbling the colors are very distracting because they mean nothing. Without stickers I'm able to concentrate on the geometry.
From memory, for the unjumbled solve I used combinations of commutative slice turns etc, using helicopter moves to reduce the corners and centres to a Curvy Copter. My reducing order went: Chiral pieces, Centre tips, slice Corners, slice Edges. But it was mostly commutator based, and so is my standard Helicopter method. On this puzzle I explored sequences before I scrambled it.
I first paired up the big outer helicopter cube triangles to the small inner ones using standard HC stuff ([3,1] commutator mostly).
I then paired up the chiral pieces to those triangles using [3,1] commutators. I focused on one orbit and then the next. This involved moving around the chiral pieces between their orbits to match up with the paired small and big HC triangles.
I then paired up the bar pieces to the corners [3,1].
I then paired up the corner tippies to the corners [3,1] pure.
I then fixed the orbits of the groups of pieces and then solved the reduced puzzle.