They'd sit around and talk about justice and duty. Kinda like Stannis and Jon, except that Stannis and Jon have a far more complex relationship and all those crazy power dynamics going on, while Stannis and Ned being brotherly would just be DUUUUUUULL. Almost hilariously dull.

Main reason I ship them so hard. Sometimes I realise how odd it is that these two are so healthy and functional and good for each other, considering the whole lord-bannerman-relationship and the fact that one of them chopped off the other's fingers. ;)