And... it's done!
I put the seats back in, recharged the system, turned the key...
...and the dashboard lit up like a Christmas tree with warnings and lights.
Traction control, ABS, stability control, airbags. It looked like every warning light was lit. I plugged in my code scanner to try to make sense of it all. One error caught my eye: "MAF (Mass AirFlow) Sensor". Hmm, I had to remove the MAF to get at the AC and heater hoses on the engine side of the firewall.
So I checked under the hood - the connector to the MAF was in place, but I put my hand on it, gave it a push... and the connector audibly clicked as I pushed it home. I cleared the codes, restarted the car, and all the warning lights and messages went away (Yay!)
It makes sense because in order to provide traction control, stability control, and ABS, the computer has to know exactly what the engine is doing and be able to control it. With the MAF sensor disconnected the computer lost a key insight. The MAF tells the computer how much air is going into the engine. Without it, the computer has to infer airflow based upon throttle position and RPM - good enough to drive home, but not good enough to manage power properly.
However, one error message still remained - the airbag. (boo!)
But this one was not unexpected. There was a recall on this vehicle. GM had a problem with the airbag connector under the seats corroding in service. The in-field fix was to cut out the connector and twist, crimp, and solder the wires together. This was done to this vehicle already. So when I removed the seats I had to cut the four airbag wires (two for the side airbag, two for the seat-belt pretensioner).
Here is how the wires are reconnected, per the recall notice. From left to right the wires are folded, crimped, soldered, then sleeved with adhesive-lined heat-shrink tubing.