I don't quite understand double barrel surnames. Let's look at history the reason why women took the name of the man was because men own women as property. Yes it's only been just over 100 years when this stopped. So it made sense that now the man has acquired a new property she has his name and not her father's name.
The way we should move on from this is by allowing women to keep their own identity so you would retain your father's or family surname. However if we think we are doing a compromise by going for double barrel to surnames then why should we
A solution would be for the children to keep the fathers surname but have the mothers surname and a middle name.