ROCHAR DMM REPAIROK been studying the thing some more, trying to trace grounds and all the wires coming from the centronics interface connector.
A good flash light and DMM in buzz mode, is essential. Patience too.
So here are my findings :
There are 3 different grounds :
#1 : chassis ground. It's not being used by the plugin at all. The binding post on the front panel is connected straight to a pin on the interface connector, via a black and green wire.
#2 : ground on the diff pair board : goes to both the Volts and Amps boards, as well as their respective black/negative terminal on the front panel.
#3 : found two different black ground wires on the interface connector.... which would help confirm my theory of an intermittent ground connection to the Amp board while the ground on the Volts board is fine and reliable. UNFORTUNATELY this hope soon vanished when I buzzed these two wires and found they were connected

So even if one would go intermittent, the other one should be able to take over. PLUS... when I traced the actual wires, I found that actually thes two ground wires go to the Volts board as well as the range switch, but they don't go to the Amps board.
So it's still a mystery...

Then I tried to trace every single wire of the interface connector. There aren't that many so I though what the hell, let's give it a try.
- x2 black wires : ground for Volts board and range switch.
- yellow-green = goes straight to the Volts board. I think this must be the supply voltage because the red wire of the hour counter is soldered to the same pin on the connector...
- white -blue = again goes straight to the Volts board. Maybe another supply voltage, negative or god knows what. I guess I could measure that...
- a row of x7 solid colour wires, rainbow style : from orange to white. These all go straight to the range switch. They are most likely used to tell the main frame which neon bulb to light up for the decimal point.
There are not 7 DP though, so maybe some of these wires do something else. This should be detailed in the main frame manual I would think, can't wait to see that.
So not much going on on this interface connector really ! ground, V+, decimal points, that's about it.
Signal measure goes to the diff pair / 4mm connectors, not the centronics connector.
Hey, we are making progress aren't we ?!

After some more wiggling of the plug-in, I noticed that the display goes nuts only with some forms of wiggling.... I need to be more accurate : I noticed that I can "trigger" the display if I apply a twisting action to it, i.e try to rotate it. However if I apply purely a linear motion, either going from left to right, or top to bottom, then it is wayyyyyyyyyyyy less sensitive. For what it's worth.
So I am learning stuff, but sadly it's going nowhere : I am at the same time finding evidence that are incompatible : stressing the interface connector by wiggling the plug(in definitely triggers the problem... but the wiring of that connector is such that even intermittent contact should not cause my symptoms.
Honestly this thing is starting to drive me completely nuts, I am lacking ideas now...
I guess now that I have identified that very few pins of that interface connector are actually doing something useful... I could try to bridge them see if that helps. Somehow I bet it won't and I will be back to square one. I think I will soon be in need of professional psychiatric help in order to retain at least some bits sanity....