your proposal above reduces the maneuver fight to a single sustained maneuver. part of maneuverability evaluation should include the efficiency that an aircraft has in the process of changing its velocity vector shouldn't it? mass and the energy required to over come it's inertia must be taken into account each time the process of changing ones velocity vector is done, and often maneuver fights are a constant series of changes from one maneuver to another. that is where i believe the size and weight advantages come into play for the smaller lighter aircraft.
Thor,
The definition of curved motion is accelerating the object off its motion vector. Acceleration by definition is a change of motion. In a "sustained manuever" the acceleration (change in motion) is of a fixed direction and magnitude and will produce a circle. The same acceleration with varying direction can produce a variety of curved shapes, but these do not result in a new or additional term in the equation that saps engergy or reduces manueverability because the mass of object is "changing direction". The object is changing direction in a sustained manuever as well.
Note: energy sapping will occur differently for different maneuvers due to Aero drag, but not because of weight or mass. But we should not confuse efficiency or energy sapping with the effect mass has on manueverablity. These are very different principles and should not be used as though they are related.
Scaling and heavier planes:
Here is a thought experiment that is probably trapping your intuitive sense into your belief about heavier planes. Take a Cube 1ft by 1ft by 1ft and lets say it weighs 100lbs. The volume of the cube is 1 cubic ft and the area of any side of the cube is 1 sq ft. If I set the cube on the ground, the loading on the side touching the ground is 100lbs/sq ft.
Now double all the dimensions of the cube. The cube is now 2x2x2 ft. The area of a side is now 4sq ft. How much does the cube weigh? The cube weighs 800lbs because the mass is going up with the third power of the demension change. Now note that the area only went up with the square of the dimention change. so the loading on the new cube 200lb/sq ft.
So if you took a 109 or Corsair and doubled all the dimentions you would not have a plane that is just as manueverable as the original because the wing area would be 4 times larger but the plane would weight 8 times as much.
Your "intuition" about scaling up the plane is correct, but you can see now why it is correct, because the mass to wing area would greater on scaled up plane and it would be less manueverable.
I hope you might also see that is possible to design a bigger plane with the same mass/wing/power ratios as a smaller plane, and that if you did it would perform the same.
I hope that helps.