Ta2 is correct.
In more specific terms, the curve creates more edge area with which to cut, for example draw cuts. One pull cut will traverse a longer distance over a curved edge than a straight one. Also the belly of a kuk specifically, will reach down into the target material, and provide additional downward cutting pressure. Curved toward the weilder swords, like a scimitar, require a curved sweeping draw cut and slash, to keep edge contact with the target. But if you ever use a heavily curved blade like a Talwar, British Light Calvary 1792, you will see that the slicing, curved draw cut becomes a natural motion with these curved blades. Just like slicing a steak off of a big ole' prime rib.
During a chop it is a little different.. *Less* of the edge hits the target at one time, increasing the pounds per square inch at the edge. (same force, on a smaller curved contact area. This contact area increases as the chop bites ever deeper into the wood till it stops. You can imagine that a straight blade with no curve would hit the target with all the edge that makes contact at once <pang!>. And this large contact area makes it harder to draw/rock the blade out and across the target after a chop.
I have always been told "The power of a knife is in the cut." and my experience so far has proved this phrase correct. Max work for minimum effort.