Sooooo ...
Answer to myself...
on the very first schema, instead of using the "power connector" to have illumination, you can use the pin 2 & 3 of the blue connector. (pin 1 is not connected)
If you have DS not working then you have to connect pin 4 (M/S) to pin 6 ...
which is not shown in the schema but mentioned a bit after in posts related to LCI car connector... and that's it ! It works like a charm !
