Bo, I've been full circle in my own mind on this subject twice! (very small diameter circles!) I own one of these Razor's Edge fish hook sharpeners and it puts the sharpest cutting point edge I've ever seen on a hook.... Like a surgical instrument! But I've found that edge doesn't last as long as a conical point and requires a touch up now and then, making it a extra process I'd rather not have to go thru during the day, especially in a tournament. I also find it interesting that you put 4 flats on your hook and not 3, by the way. But after it's all said and done, I prefer conical points to cutting points, the Gamakatsu conical points are chemically sharpened as to not effect the tempering of the steel like a mechanical honing/filing would. I usually replace hardbait hooks with Gama EWG's before I use them....Even the Luckycraft. I prefer Gamakatsu or Owners to anything and usually don't need to sharpen them.
One of the things that I've heard about cutting points is that they will "tear" a hole in the soft membranes of the lip and as the fish is fighting it will wallow out into a bigger hole, increasing the chance of a thrown bait when the fish is shaking it's head. I've also noticed (could be wrong) that many of these so-called cutting point hooks like Owner actually are led with a needle sharp conical point at the tip anyway, and then blends into a cutting point further back.....my 2.5 cents