This mirror removal project finally floated back to the top of the list this week and I had a chance to apply some 3M Adhesive Remover to the perimeter of the mirror. It did not let go.
I also tried multi tooling off the last two screws and they turned out to be tougher than the cheapo blade I brought (see inset below). Should have seen that coming. The screws just turned as the blade hit them. I'll come back with a proper blade, but it seems to me that if those last two screws are loose enough to turn freely, their grip on whatever backing board they thread in to is also loose enough that the mirror should wobble. It doesn't.
I tried (in vain) to photograph the gap between the wood frame and the gelcoated wall. I had to lean on the orange plastic pry "bars" to get the frame to flex enough to produce the ⅛" gap shown below. While it's not a great illustration, you can see several inches into the gap between the wall and the mirror.
Here's how I see the assembly of that mirror. A guy smears some 4200 on the wall in an oval a few inches smaller than the size of the mirror, then holds the mirror in place in the adhesive on the wall and puts the six screws in to hold it tight while the adhesive sets. The screws just go into the fiberglass as they only need to hold long enough for the adhesive to set.
If that's the case, 3M Adhesive Remover is still the answer. I just need to get it progressively deeper into the gap and be ready for the mirror to let go. Figure I am reading that right?