Progress?
Just after the technician left day before yesterday, I received an automated e-mail from First American inquiring about where things stood, and whether I needed further assistance. In my reponse I added a note advising them not to kick this issue to a bottom feeder call center employee (through my experience working for a RBOC, I know how this sort of thing works, and these days they're all ESL robots) and instead to have someone with the skills, abilities and authority to make a decision contact me.
Yesterday I received a call from a sweet girl named Lizzy, located in Santa Rosa, of all places, who was beside herself over how long I've been waiting for a resolution. She hadn't seen the tech's report and advised she'd contact the company and get the information. She waived the service fee. I explained to her that I wanted to keep this fridge rather than replace it and told her why, and she completely understood.
Just now she called back to advise that the tech confirmed he couldn't work on a sealed system, and that she has gone directly to GE and will have someone contact me. I laughed and told her I didn't think GE would know what to do about it, and she laughed too, but said we'll at least give it a try. There's likely a process she needs to follow. She's considering this an emergency repair and said I should hear from GE today, and that she'll call me back to follow up tomorrow.
We'll see where this leads. She seems determined in her pursuit of repair, or at the very least a satisfactory resolution.