Finally...
Today (6 weeks after the final lacquer coat) I sanded with 800 FreCut (dry), then wet sanded with 1000/1200/1500/2000 Unigrit. I buffed it out with Stewmac fine compound, using my random-orbit sander with a Meguiar's foam pad. I'll do the swirl remover later, once the neck is buffed out.
front back reflection
Elation was soon tempered, though, when I discovered a nasty lacquer split at the slot for the 5-way... I was being so vigilant about keeping the bridge stud and string-through holes dry, I completely forgot about that slot. Arggghhh. Hopefully it's something I can repair later.