Got some more ceiling cavity filled with fiberglass and some more insulation panels cut, trimmed and fitted. Along the way I found a short wall stud attached to another one with a construction grade nail that was too long. Getting that removed was interesting and, since it didn't need anything even remotely as strong as that, I resecured the stud with a couple of 3" screws.
I had hoped to get a little more done but noticed a tiny gap in the mortar in one of the joints so needed to fix that, and of course I can't put a panel in that section until the mortar dries. I also had to deal with a section where the studs aren't even close to parallel so it took more effort than I had expected to cut the panels to the right size to fit them in. And then came the section that has a big step in it, where the end stud is made up of two parts on top of having uneven studs. Thankfully I managed to get it cut almost exactly to the size it needed to be, which was a relief.
I've got a few more panels cut to approximate size ready to be trimmed and installed, I just need to figure out exactly where power sockets are going to go and how to get the cable between them all, then I can figure what I'm doing with the slightly awkward and inaccessible bits below floor level. I'm thinking I might see if I can drill holes below the floor level, run cables there, and stuff fiberglass into all the awkward areas rather than trying to cut panels to fit around back boxes and cables. Then I can drywall from the top down, which will leave a small gap at the bottom, but the baseboards will cover up the gap - all I'll need is a shim on the studs so the baseboard doesn't fit unevenly. I've also managed to create a route to get the power cable from the room down into the basement, so from there it's easy enough to just pull more cable through and route it to the breaker panel.
With any luck I'll be ready to drywall within a few days.