Improved climb can help with second segment limited take offs. In my outfit we use improved climb with credit for backward CG as standard and on the 737 that allows the maximum thrust reduction by combining derate and ATM (airbus doesn't have derates on the narrowbody types) which in turn reduces engine lease rates considerably. However, full climb thrust wherever useful (not the london TMA for example). That combination provides the least cost solution by combining the lowest possible thrust for take off and the least amount of fuel during climbout.
With today's software tools on the usual iPad based EFBs it is rather easy to get the best performance out of the plane, not much to do there except enter the conditions and let the software do its magic. So, why not use the best possible combination? It is as KISS as it gets.