Engineer
Major
The figure you are referring to in shows roll rate, which has nothing to do with turn rate. I know you like to use pitch, roll, yaw and turn rates interchangeably to misrepresent, but that isn't going to alter how all these terms refer to separate parameters.Well that data already is available
see
Figure 9-15. Role rate performance, showing the effect of thrust vectoring. (Courtesy of LMAS)
in fact see
The F-22 is the most recent airplane to require high angle of attack capability. Charles Wilson from Lockheed Martin gave a talk at Virginia Tech in November of 1996. He left a copy of the charts he used in his discussion of the high angle of attack development effort. He showed the effect of the LE flap schedule on the lateral/directional characteristics and the nose down pitching moment across the angle of attack range including the effect of thrust vectoring. Finally, he included the maximum roll rate as a function of angle of attack, also showing the benefit of thrust vectoring, and in comparison with the F-15. Copies of selected viewgraphs from his presentation are shown here in Figures 9-12 through 9-15. A related paper on the F-22 is by Clark and Bernens.1
The charts show F-22 without TVC nozzles is even inferior to the F-16
yes you said TVC nozzles do not help STR which is also false
The aircraft can keep on rolling and its flight direction will remain the same. So, your data does not support your claim about thrust vectoring providing lift to increase turn rate. In fact, when we look at the sustained turn-rate of the two aircraft, F-16's value is only at 21.5 degrees per second which is clearly inferior to F-22's value of 28 degrees per second.