Jenny,
Almost any stone, being stone, will leave micro-grooves or striations in the steel. This is not too surprising considering that, under a microscope, the finest of stones still looks like the surface of an old lava flow. If you want to get down to the nitty-gritty

when those striations in the metal run crosswise to the direction the knife is being pushed, they tend to create friction and to resist the easy movement of the knife through the leather. Think of the striations in a mill file.
Maybe this effect is so minimal that most people would not notice it. But it is there. If you sharpen with a circular motion the striations in the metal are all ever-whichaway. And there is no direction that you can slice in which the metal is not working against you to some extent.
When I sharpen, I move the blade across the stone with the exact same motion I intend to use when skiving or cutting or whatever. If I going to push the knife...as with a skiving knife...I push the blade across the stone. Then I turn it over (if I'm going to sharpen the other side) and push again. If I'm going to pull the blade...as with a clicker knife...I pull the blade across the stone as I sharpen.
I also try to visualize the edge of the blade slicing a very thin...a micro-thin...layer off the top of the stone.
As for bevels...remember this: the steeper the bevel--a sixteenth inch bevel, for instance--the longer whatever edge (or degree of sharpness) you can achieve, will last. But a shallow bevel...one that runs from the edge of the blade to the spine of the blade...will be sharper by an order of magnitude, even though it may not last as long. However! This means it must be a true, flat (or hollow ground) bevel and not a rounded approximation.
Tight Stitches
DWFII--Member HCC