I'm thinking over one idea, which would require reading control signals of the bare glass LCD panel (COM and SIG lines) by the microcontroller (or some small FPGA).
The LCD is obviously correctly driven by the LCD driver, so it is a multi-level (looks like 4 levels) signal with positive and negative voltages (referenced to the MCU ground).
I have not spend much time thinking about it to know how much of that I actually need to capture to read the state of the segments, but I wonder if anyone has done anything like this before?
Quick google search does not produce good results. People are mostly reverse-engineering digital interfaces to the controller.
The LCD has about 60 segments, it has 20 pins, and I have not tried to trace the actual signals yet.
Again, just bouncing some ideas here.