Hi, Tim.
It seems that carbide growth, precipitation of carbides from the carbon in the interstitial spaces, needs to start somewhere. This is mainly in tempering of martensite. Carbides have to grow, or be kicked off to form initialization areas. Vanadium, evidently, has the structure atomically and molecularly to encourage this. I'm guessing it has to do with the bonding arrangement of the atom and electrons, etc. Add to that that vanadium carbides are extremely hard and thus wear resistant, much more so than iron carbide, and chromium carbide, and vanadium definitely increases the wear resistance of steels. As far as grain size, this isn't something you have control of, apart from just correctly processing the steel per manufacturers white papers and data sheets. It is true that with more grain boundaries, microscopic crack propogation is discouraged, and with larger grain, crack propogation is increased. In a general way, in old school fracture examination after hardening, this is why at a break, the appearance of a clean, uniform, fine-grained structure means you're at least close to the mark, and a large, crystalline facets mean you're not. But don't confuse this for microscopic and submicroscopic grain structure, you'll need some serious apparatus and lapping and etcing procedure to see that. And some studies are sub-microscopic! A knifemaker only has to process these steels as recommended to get the best structure possible, and the recommendations come from the steel maker.
For the Rockwell hardness, it depends on what you, as a knifemaker, are shooting for. This is something that is gained through experience, making many knives and having them used in the field. Also, by using a variety of alloys, you'll discover just what are the limitations of each one, for there is no ultimate alloy. What a maker shoots for in tempering specifically depends on the steel type, the grind geometry, the overall structural geometry of the knife, and the intended use. As I've said on my site, I've had professional chefs request two identical boning knives, one at 55HRC for a springy feel, and one at 61, so it's stiff and more wear resistant. I've always believed that balance in each knife must be considered.
Thanks for the great question!