OK, got this solved. Had to add also the "Turn off" scenario from FB to the socket scenarios. I'm quite new to Wireless devices, so working with scenarios is new as well....
Now a follow-up question would be that one wired socket controlled by Output230 connection, where I have attached Wireless mobil stikkontakt dimmer, would also need that Output230 is ON in order to Wireless dimmer to work. What would be the recommended way to take that into account in 1.2.03.c FB that I'm using? Maybe always first sending ON to Output230 is not a good idea. Some modification to 1.2.03.c is needed - a check IF Output230 OFF, then turn ON and then continue with Wireless dimmer.