Well, FWIW, mine was always stored in the homebrew snuffer I had made for the low bow foil on a Nacra 6.0na.

When rigged, the end of the pole had a spectra line to each hull tip, which ended in a hole drilled thru the front of the bow.

I would undo one side of this bridle, so the whole pole with snuffer attached would get past the upright mast support on the front on the trailer near the tongue.

So my spin was stored, in the snuffer, with all lines except the halyard attached.
Which made for some great rigging and breaking down times!

It wasn't stuffed in, and it really wasn't folded either. It was out of the sunlight as my snuffer was a black plastic tube.

It was so nice just to attach the halyard to the head, and that's all there was to rigging the spin!