Success!
View attachment 538689
Note the marching green lights. It works!
As anticipated, 6 AWG is a pain. Mashing the outlet into the box was a pain. Getting a sort of S-curve in the romex from the top of the box to the bottom of the breaker panel just a few inches away was a pain. Simply cutting the wire was a pain. But pain makes us stronger, right?
If you come to this thread seeking to do it yourself, here are things I'd do differently that might make it easier for you. Get the largest volume box you can find: more room for maneuvering the wires around. Don't create for yourself the S-curve problem that I did: either put your new box maybe a foot away from the panel, allowing for more gentle curvature, or position your box laterally so that no S is even needed. And get oomphier wire cutters than the ones you probably have in your tool box.
An unexpected difficulty was cleaning up the knockout in the panel box. You know how they're attached at diametrically opposite points, and you twist the hole out? Well, the two break-off points left little stubs of rough steel sticking into the hole, and they were more than enough to keep the wire clamp from fitting in. The angles were such that filing it down to a proper circle wasn't fun. But I persevered.
The work inside the breaker panel was pretty straightforward. Getting the length of your cuts just right so that there is enough wire to route it neatly without too much to where you're having to stuff it makes the difference. Goldilocks: neither too short nor too long.
I was on the edge of my seat (well, actually standing outside, leaning over the seat) after I plugged Wattney in, and watched as it reported 239V (yay!) and then the amps gradually crept up to 32/32!