IMO, there is a problem with the Lansky. Keep in mind that you will not see this issue on a knife the size of the yard keeper. So, I am only stated it so that you are aware of it in the future.
The overall problem with the lansky is that while the stone is held at a fixed angle, it is forced to travel in a circle. On the lansky that circle is a very small radius.
For any knife over 4" in length, you will start to see the edge from the handle to the center of the blade to the tip be un-even. Wide, skinny, wide again. This is due to the stone traveling in that short radius.
To me, that is unacceptable.
The work around is to do a section, re-clamp, and keep your strokes shorter (3 incehs or so). This will of course take some time.
This same "flaw" is evident in the more expensive systems, like the EdgePro too. The difference being that the edgepro travels in a larger radius, and the problem is not as appartent. But, it is still there.
If you like the jig-type fixtures, the
EZESharp is one of the better ones, because it helps to eliminate the radius issue.
If you want a v-grind, I would just suggest free-handing it with a stone.