I disagree. So far we have discussed three separate "ideas," sharpness, edge finish and edge geometry. They all play a role in cutting, yet they are all separate, individually observable qualities of a blade. This is why I've always disagreed with the notion that the word "sharpness" should describe geometry and quality of the edge honing, because these are two separate characteristics that can be isolated from one another.
A highly polished edge is not ideal for every chore. But a well sharpened highly polished edge will always cut with less force than a poorly sharpened highly polished edge, just as a well sharpened coarse, toothy edge cuts better than a poorly sharpened one. Again raw sharpness does not indicate edge finish or geometry or limit the knife's application to only push cutting, it just means you, or whoever honed the knife, has good technique. Quality steels can be made to shave arm hair right off a 200 grit sanding belt or XX course DMT stone.