If you have a different power setting everything is NOT remaining constant. Engine torque is a MAJOR input to the required pressure for a shift.
Adaptive software was developed to make the trans more consistent. The are variations in each truck, engine, and transmission, and that affects the shifts. By adapting to the variations and making each shift at it's ideal slip time the trans will be more consistent. Also, shift time tend to get longer as the trans wears. Adaptive eliminates this.
As I have said repeatedly it adapts to the shift time from when the computer commands the shift until the shift has ended. There is a large table for each shift. If you drive at low throttle the low throttle part of the table will adapt. The higher throttle part will remain at the default pressures until you drive at higher throttle.