Well well well ... Look what I've found on J202: at least 3 pins out of 12 are badly damaged!
Since the first day I opened this device, I've always been surprised by the fact the solder joints from J202 never seemed genuine, someone attempted something onto these joints: either soldering wires, or attempting to replace the connector. Anyway, here's the story of how I got there.
Tonight, I was trying to understand why the contrast bias would drop when LCD module is connected.
First, disconnect the LCD module, then power the scope up.
Bias contrast is -16VDC unloaded (pin1 from J202) when measured from the solder joint below the PCB.
Add a dummy load (62k) between bias contrast pin and ground. Still -16VDC.
On the disconnected LCD module, measure resistance between pin1 and a ground reference from the LCD module. 285k.
So the load resistance from the LCD module is higher than 62k but still, when connected, the bias contrast "drops" to 0.7VDC, instead of a steady -16VDC. So something is happening when the ribbon cable from the LCD module is connected to the main board.
For the record, pin1 from J202 is bias contrast, and pin2 is contrast reference.
I measured pin2 from J202 at -24VDC (ie. within acceptable range),
when measured from the solder joint below the PCB.But if one attempts to measure pin2 directly from within the J202 connector (ie. where the ribbon cable from the LCD module usually sits), with a needle type probe, you get ... nothing!
That may explain why the pin1 measures 0.7VDC: with no contrast reference going to the LCD module, the IC in charge of managing the contrast (LA5315) might get a bit lost, and could force a bit of anything onto the bias contrast pin (0.7VDC for instance, probably due some kind of diode within the LA5315).
Pin 9 and 11 also look pretty bad within J202, meaning the LCD module may not properly get its 5VDC, as well as CP1 (the clock that pulses each row of pixels).
Next step: try to bypass the J202 connector by soldering directly the ribbon cable onto the main board. I hate when it comes to soldering onto tiny tracks of a flex circuit. But do I have any other choice?

Next next step: if previous operation proves to be successful, I'll have to replace the connector from J202 (which also means that the logic analyzers I ordered yesterday won't be of any help).
Does anybody have a clue of the connector reference? (good luck with the poor quality pictures I'm posting!

This is what you get when working with a old and simple binocular and a mid range smartphone)