In an attempt to address this particular limitation of ICM, I have recently added a new feature to the SitNGo Wizard I call Future Game Simulation (FGS). For every possible outcome of the current game, FGS creates a simulation of what may happen in next few games.
This is a beta release of FGS so I can guarantee I still have some bugs to work out, but this looked like a perfect test so I plugged these two hands in to see how much difference FGS makes. The best way to illustrate is using game charts. The following charts plot the small blinds push range versus the hero’s call range.
The first chart uses plain old ICM without FGS. It makes almost no difference whether hero has 600 chips or 601 chips.
The second chart gives hero 600 chips and uses FGS.
The last chart gives hero 601 chips and uses FGS.
With 600 chips hero must call with any 2 cards. With 601 chips hero should play much tighter than plain old ICM would suggest (note that the scale of the Y axis is different in the last chart). I have not taken the time yet to verify the calculations, but at first glance they look reasonable.