Thinking of this just in terms of the Physics involved, control is going to be related to where the center of gravity is located in relation to the users hand and not just how far it extends out linearly from the handle. This will apply to any knife design. Draw a line that starts at the base of the handle through the end of the handle and extend this out linearly(Line A). Draw another line that starts at the base of the handle and intersects the center of gravity(Line B). How much torque is applied to your hand when attempting to start, stop, or redirect a swing is going to be dependent on only three factors: the mass of the blade, the length of line B and the angle formed between Line A and line B. The torque will be directly proportional to all three of these measurements. The greater the mass, angle, and length of the line, the more difficult it will be to control the blade when executing a swing because a greater amount of torque will be applied to your hand.
For a straight blade, the angle will be close enough to zero in most cases that this factor can be neglected. The major factors will be how far the COG extends from the handle and how heavy the blade is. For a blade design like a Kukri, the Angle formed is going to be quite large in most cases and have a major effect on controlablity. You will never be able to control such a design as well as a straight blade design just due to the Physics involved. The larger the blade drops from the vertical centerline the more unwieldy it will be in the hand. It will be harder to stop, start, and redirect, all other factors like blade mass being the same. If I was going to design a kukri that was optimal for fighting, it would have a relatively uniform blade in terms of width. This would push the COG back towards the hand compared to a blade with a huge belly positioned at the front. It would not have a lot of drop, which would reduce the angle between the axis lines. Keep just enough to create enough damage with the swing but not enough to make it too unwieldy. Looking at the photos of the Kobras and Suripatis, I think that's pretty much how they are designed. How much control vs desired vs how much damage is wanted on the receiving end is dictated by choice of length of the blade and the drop of the blade. I guess you would pick one that you feel offers the best tradeoff for your ability. With the blade-heavy designs with huge bellies, this is moot as these are going to be used as choppers. It will be harder to get moving and harder to stop and redirect, but who cares about that at this point. The material being chopped will stop the blade for you and all the energy will be imparted to the material, which is what you want. All of this is based solely on physics and not on experience using different kinds of kukris.