Sharpness really has nothing to do with the thickness of the blade. It does have something to do with the thickness of the edge. The thickness of the edge is determined by the angle from the edge to which the bevel is sharpened. A lower angle generally allows for a finer edge and thus can be more sharp. But with a thinner edge there is also an increased risk for nicks and rolls.
Blade thickness comes into play when cutting material because a thicker blade will bind more than a thinner blade.
How thick or thin you like the blade will depend heavily on what you generally cut. I tend to like the thin blade of a slipjoint for most cutting tasks, but there are occasions when I went to put some leverage on the spine of the blade and do some more rugged chores where a thicker blade is going to hold up much better, not flex or not be in as much risk of breaking.