After thinking a bit - real cut usually combination of draw and push, so it is not clear to me, even micro saw effect is seen very well, from what practical use will benefit more from better push cut or from better draw cut?
I think your video example is interesting(as all your video's) , but not necessarily a real world example, as you will almost always put pressure on your edge downwards normally.
The reason the coarser edge sliced better, is in my logic that it grips into the "cuttingobject", and hooks behind the microparticles, thus causing the knife to go downwards into the object, gripping into other microparticles/fibers, and so on. The polished edge will do the same the slicing motion with much lesser force required to move the blade, as an ice-skate sliding over the ice. So the total force applied by you on the two knives isn't the same.
It is in essence the principle of a normal big wood saw I think, that is designed only to push and pull with it, and not really to put much pressure against the object.
When you try to saw a tree with a gigantic shaving sharp, polished blade, I think it will take many many times longer to go thru it when doing the same movement.
That's why there are tools like axes, which are designed to push a strong polished blade with big pressure into the object.
The question could be: what requires the lesser total force to get your object cut. But it isn't maybe that easy, because some ways of putting pressure are more comfortable and easy for a human than others.(because our biceps are stronger, pushing is mostly considered easier than pulling I think)
So in the end it indeed all depends on the way of cutting, and the object you use for it, to choose the size of your (micro)tooth’s on that object .
And it also depends on which material you want to cut. A hanging rope will be better cut when sliced with a coarser edge, because it is very flexible and will move away from the edge, or around it when you only push against it. And other materials benefit from a more polished edge, like when you peel an apple.(pushing motion).
DISCLAIMER: my opinions are only based on own logical thinking, and not on my level of experience. I'm not as good in sharpening as many of you are, as I've only been able to sharpen a knife to hanging hair splitting ability once, and that was mostly by pure luck.
