Do higher powered engines give more thrust in stages of flight other than takeoff?

[Eddie]

To my knowledge, much of the "lower rating" of the lower thrust engines (such as the 22k vs. 20k on the -300, or 18k vs. 20k on the -500) is done by simply electronically decreasing the maximum takeoff N1 to produce less thrust, much like an TO-1 derate. However, does that lower rating also result in less climb/GA/cruise thrust limits, or is it solely applicable to takeoff?