Update
Well, not much new here. Spent all holidays working (but not on the car). A week ago I got tired of the original stereo headunit so I removed it in order to install the new Pioneer DEH-8400bt.
And voila, the EDC worked!?
But it comes and goes. There must be some kind of bad connection below the stereo (as mentioned). Need to take a look at it properly when I get time (which never seems to occur).
Everything else still works just fine. Will take it on a 500k trip next week and see what surprises turn up...
And thank you Per for helping me change buttons on the OBC.