Well, I think of it as being the first of a two -part farm/location ID name ie: Thorsen (of) Forborget or whatever location.
By using the suffix slot for the DNA reference a specific related line can be traced in either direction, upstream or downstream, by a visual scan of family members as I move from generation to generation with ease.
I have several instances where an ancestral couple is the connecting point for five or more different descendant lines where the families are large, generation after generation, - so I can scan the listing of children's names with their adherent suffix tags showing within each generation and readily follow whichever of the descendant lines I am interested in.
If I understand your suggestion I would have to successively open each child's
personal view until I found the line I was tracing. and then proceed to the next generation and again go through the procedure of successively looking at each child's DNA tag.
Admittedly my method is not ideal and I will be interested to see how others are tagging atDNA lines within their Ancestry personal trees linked to FTM 2012?