Metolius say that the Curved Nut shape offers all the advantages of existing curved nut designs (3 points of contact), but it is naturally more stable in flares, and because they have a straight taper from top to bottom, it is much easier to judge placement quality.
By attaching the cable directly to the nut and eliminating the swage Metolius say that they have made these nuts some 30% lighter for a set than the originals.