I made a suggestion (in the duplicate of this thread) but since then I have been trying to duplicate your situation and solve it ... but I encounter the same behaviour you have :-(
(my test was ATV2 as [DVD], and BS4 as [A.AUX], and the picture goes blank)
I still think there has to be a way of going from the Gefen into the BS2 .....
First B&O (1976) was a Beogram 1500 ... latest (2011) change has been to couple the BL11 with the BL6Ks *sounds superb*