It depends on the logic fed to govern inverter compressor operation by OEM. Every OEM has its own flavor of logic curve in this regard.
Panasonic has such a programming curve that temp remote inputs have been divided into energy saving and cooling.
24 to 28c on remote are all energy saving settings. Your inverter will first achieve the temp you have set e.g if u set 26 it will achieve it and then make your body adapt to it while at the same time it will start to relax on cooling by slowing down and giving up 1.5 to 2c in this process. As the body adaptation theory says that if temp change is very gradual you will feel comfortable to the change. Now that temps have been relaxed and raised slightly, body still tends to be at ease as its motionless and energy expense is very low thus heat generation calms down as well.
That is how inverter is saving you Bills. There is no magic in this. Moderate cooling at lower compressor rotation is the formula that techies have achieved by inventing DC invertors. That is this whole idea is about to slow down compressor and take benefit of body's adaptation to temps. As science says, for any higher output at cooling process you need to expend more watts/energy given the design of compressor technology itself.
Energy saving becomes less of a priority at remote temp 23c. It will drop ur room at 23 and will not let it exceed 24 at saturated level. Lower u go from this point the more raw power of compressor will take effect but on other hand energy saving will go out the window. E.g at 22, inverter will work hard to achieve 22 and will continue to work moderately harder and will not let room temp exceed 23 and stay between 22 and 23c. You go even lower and harder your inverter wil race... I have tested all this extensively.
If your desired temp is 26c in room you must try 24c on inverter but never forget that the whole virtue about inverter is that it can slow down and can do moderate cooling. Only if this invention suits yoir life style then you must opt to buy it.
Also, as per my last post if your inverter is not dipping down below 5.0 amperes then you get no real benefit of saving electricity. Any usage of inverter stablized at 5.0 amps on average is equal to power use of Conventional AC. And at this state Inverter Chills as strong as Conventional AC.