The main currents when sleeping are MAX31865: 1000uA and FM8625H: 100uA. Assume that the average current consumption during 2 minutes of wake-up is 50mA. Calculate the amount of charge consumed, respectively,
Qwakeup=2x60x50m=6[C].
Qsleep=20x60x1100u=1.32[C].
As you say, reducing the sleep current does not seem to have much effect on battery life.