I flew in early November on ITA Airways in C (MUC-FCO-JED-FCO-MUC)
I got EBG Status through the status match with my LH-Senator Status in August.
During booking on ITA Website I could not add my EBG number.
After booking I added my ITA booking in the SAS App and added my EBG number in the booking.
Afterwards the EBG number was in the booking also on the ITA website.

In ITA Business Class you usually have to pay for seat reservation.
Still after adding my EBG number i couldn’t choose seats free of charge. I then called ITA but they couldn’t help.
After writing two e-Mails to the ITA customer service I finally got the seats free of charge because of the ST elite plus.

The EBG-Status was also printed on the BP and also ELP. Which I assume stand for ST elite plus
I did not get any points but I knew this because on SAS Website ITA is not listed for earning points.

Lounge was possible at all airports but I don’t know if it had worked in Y.

In a few days I will fly with KL in light fare within Europe. I could select seats free of charge after booking for me and my family and in the KLM app I see that I got one additional check-in bag for free.