Well, good news, it's working beautifully now. I used up all the least invasive options for popping the stuck key, so I had to suck it up and pop the heat stakes. Fortunately the design of the Pioneers is such that the heat stakes aren't responsible for the pressure fit against the keyboard ribbon cable and LCD connectors (unlike the 28S, which is practically ruined as soon as you open it).
Somehow, the plastic dome under the 1 key was staying down when pressed, and not springing back up, though it could be pushed back up manually. I was about five minutes away from transplanting the keyboard mechanism from a 10B, when I figured I'd try experimenting a bit. I took my pocket knife, and made a tiny vertical incision radially at the lower edge of the plastic dome. It was just enough to reduce the tension holding the dome in its depressed state, and now it pops back up on its own like it should! The 1 key is a bit softer than the rest of the keyboard now, and makes a faint popping sound when pressed, but it actuates perfectly, with no bounce, and no hesitation. And best of all, no sticking.
To put the whole mess back together, since the heat stakes weren't available to provide rigidity to the keyboard anymore, I packed the case with a few rows of weather stripping to hold the keyboard plate against the front of the case. It's doing an admirable job of holding the keyboard in place, though I don't doubt there's a better way to do it.
So there you have it, another 32S rescued. And I almost found a use for my 10B, too. ;)