Hi folks, found the reason, why favicons were not shown: I was my own fault!
I disabled "create chronicle" in the settings of firefox, and with doing so, all favicons are not shown in a new tab. Now I reactivated it and everything is working normal. Damn me! Btw: The thinking was logically: Wondered, why there is no chronicle, then the lights in my brain lit on: No chronicle = no favicons, of course. Happy to solved the problem. Thanks for all, who tried to help! Best regards Hans