The carbides in S30V are larger than your "scary sharp" edge. A super sharp edge is less than a micron, while S30V's carbides easily average 3 microns, with many larger. Also, a highly polished edge doesn't cut nearly as long as a coarse one when slicing, which I assume is the type of cut you are using to cut nylon cord or cardboard.
I don't know, how we got on to this topic but it is certainly true, but then again, it is possible to get a shaving edge which is not much larger than a micron on D2 which has carbides that are in the range of 50 mircrons (average). Edgestability is not only a function of carbide size though but dependent on the combination of carbide size and geometry. You can hone an edge to an edge radius of <1 mircon and still have a very obtuse geometry which will then support the carbides. That is the basic principle of Landes' "Schneidenmodel".