My splitting axe starts the season shaving sharp, but I wouldn't try felling a tree with it.
That's what the felling axe is for.
The thinner the blade is, the less material has to be moved out of the way to continue the cut. That's what makes a knife cut well.
Of course the thinner the knife is, the weaker it is. That's why chopping knives (cleavers, competition cutters, some "fighting" knives) are thick, to make them tougher, less easy to break. Thus they don't cut as well as a thin kitchen knife.
The can all be just as sharp as one another, but toughness and ease of cut are always a compromise.